proofmode.ref 15 KB
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"demo_0"
     : string
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1 subgoal
  
  PROP : sbi
  P, Q : PROP
  ============================
  "H2" : ∀ x : nat, ⌜x = 0⌝ ∨ ⌜x = 1⌝
  --------------------------------------□
  "H" : □ (P ∨ Q)
  --------------------------------------∗
  Q ∨ P
  
1 subgoal
  
  PROP : sbi
  P, Q : PROP
  ============================
  "H2" : ∀ x : nat, ⌜x = 0⌝ ∨ ⌜x = 1⌝
  _ : P
  --------------------------------------□
  Q ∨ P
  
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"test_iDestruct_and_emp"
     : string
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1 subgoal
  
  PROP : sbi
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  P, Q : PROP
  Persistent0 : Persistent P
  Persistent1 : Persistent Q
  ============================
  _ : P
  _ : Q
  --------------------------------------□
  <affine> (P ∗ Q)
  
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The command has indeed failed with message:
Ltac call to "done" failed.
No applicable tactic.
The command has indeed failed with message:
In nested Ltac calls to "iClear (constr)", "iElaborateSelPat" and
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"<iris.proofmode.ltac_tactics.iElaborateSelPat_go>", last call failed.
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Tactic failure: iElaborateSelPat: "HQ" not found.
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The command has indeed failed with message:
In nested Ltac calls to "iClear (constr)", "iElaborateSelPat" and
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"<iris.proofmode.ltac_tactics.iElaborateSelPat_go>", last call failed.
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Tactic failure: iElaborateSelPat: "HQ" not found.
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The command has indeed failed with message:
In nested Ltac calls to "iSpecialize (open_constr)",
"iSpecializeCore (open_constr) as (constr)",
"iSpecializeCore (open_constr) as (constr)",
"iSpecializeCore (open_constr) with (open_constr) (open_constr) as (constr)",
"iSpecializePat (open_constr) (constr)" and "iSpecializePat_go", last call
failed.
Tactic failure: iSpecialize: cannot instantiate (∀ _ : φ, P -∗ False)%I with
P.
The command has indeed failed with message:
In nested Ltac calls to "iSpecialize (open_constr)",
"iSpecializeCore (open_constr) as (constr)",
"iSpecializeCore (open_constr) as (constr)",
"iSpecializeCore (open_constr) with (open_constr) (open_constr) as (constr)",
"iSpecializePat (open_constr) (constr)" and "iSpecializePat_go", last call
failed.
Tactic failure: iSpecialize: cannot instantiate (⌜φ⌝ → P -∗ False)%I with P.
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"test_iNext_plus_3"
     : string
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1 subgoal
  
  PROP : sbi
  P, Q : PROP
  n, m, k : nat
  ============================
  --------------------------------------∗
  ▷^(S n + S m) emp
  
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"test_iSimpl_in"
     : string
1 subgoal
  
  PROP : sbi
  x, y : nat
  ============================
  "H" : ⌜S (S (S x)) = y⌝
  --------------------------------------∗
  ⌜S (S (S x)) = y⌝
  
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"test_iFrame_later_1"
     : string
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1 subgoal
  
  PROP : sbi
  P, Q : PROP
  ============================
  --------------------------------------∗
  ▷ emp
  
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"test_iFrame_later_2"
     : string
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1 subgoal
  
  PROP : sbi
  P, Q : PROP
  ============================
  --------------------------------------∗
  ▷ emp
  
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The command has indeed failed with message:
In nested Ltac calls to "iFrame (constr)",
"<iris.proofmode.ltac_tactics.iFrame_go>" and
"<iris.proofmode.ltac_tactics.iFrameHyp>", last call failed.
Tactic failure: iFrame: cannot frame Q.
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"test_and_sep_affine_bi"
     : string
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1 subgoal
  
  PROP : sbi
  H : BiAffine PROP
  P, Q : PROP
  ============================
  _ : □ P
  _ : Q
  --------------------------------------∗
  □ P
  
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"test_big_sepL_simpl"
     : string
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1 subgoal
  
  PROP : sbi
  x : nat
  l : list nat
  P : PROP
  ============================
  "HP" : P
  _ : [∗ list] y ∈ l, <affine> ⌜y = y⌝
  _ : [∗ list] y ∈ (x :: l), <affine> ⌜y = y⌝
  --------------------------------------∗
  P
  
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1 subgoal
  
  PROP : sbi
  x : nat
  l : list nat
  P : PROP
  ============================
  "HP" : P
  _ : [∗ list] y ∈ l, <affine> ⌜y = y⌝
  _ : <affine> ⌜x = x⌝ ∗ ([∗ list] y ∈ l, <affine> ⌜y = y⌝)
  --------------------------------------∗
  P
  
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"test_big_sepL2_simpl"
     : string
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1 subgoal
  
  PROP : sbi
  x1, x2 : nat
  l1, l2 : list nat
  P : PROP
  ============================
  "HP" : P
  _ : [∗ list] y1;y2 ∈ [];l2, <affine> ⌜y1 = y2⌝
  _ : [∗ list] y1;y2 ∈ (x1 :: l1);((x2 :: l2) ++ l2), <affine> ⌜y1 = y2⌝
  --------------------------------------∗
  P ∨ ([∗ list] _;_ ∈ (x1 :: l1);(x2 :: l2), True)
  
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1 subgoal
  
  PROP : sbi
  x1, x2 : nat
  l1, l2 : list nat
  P : PROP
  ============================
  "HP" : P
  _ : [∗ list] y1;y2 ∈ [];l2, <affine> ⌜y1 = y2⌝
  _ : <affine> ⌜x1 = x2⌝
      ∗ ([∗ list] y1;y2 ∈ l1;(l2 ++ l2), <affine> ⌜y1 = y2⌝)
  --------------------------------------∗
  P ∨ True ∗ ([∗ list] _;_ ∈ l1;l2, True)
  
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"test_big_sepL2_iDestruct"
     : string
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1 subgoal
  
  PROP : sbi
  Φ : nat → nat → PROP
  x1, x2 : nat
  l1, l2 : list nat
  ============================
  _ : Φ x1 x2
  _ : [∗ list] y1;y2 ∈ l1;l2, Φ y1 y2
  --------------------------------------∗
  <absorb> Φ x1 x2
  
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"test_reducing_after_iDestruct"
     : string
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1 subgoal
  
  PROP : sbi
  ============================
  "H" : □ True
  --------------------------------------∗
  True
  
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"test_reducing_after_iApply"
     : string
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1 subgoal
  
  PROP : sbi
  ============================
  "H" : emp
  --------------------------------------□
  □ emp
  
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"test_reducing_after_iApply_late_evar"
     : string
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1 subgoal
  
  PROP : sbi
  ============================
  "H" : emp
  --------------------------------------□
  □ emp
  
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"test_wandM"
     : string
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1 subgoal
  
  PROP : sbi
  mP : option PROP
  Q, R : PROP
  ============================
  "HPQ" : mP -∗? Q
  "HQR" : Q -∗ R
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  "HP" : default emp mP
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  --------------------------------------∗
  R
  
1 subgoal
  
  PROP : sbi
  mP : option PROP
  Q, R : PROP
  ============================
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  "HP" : default emp mP
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  --------------------------------------∗
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  default emp mP
  
"elim_mod_accessor"
     : string
1 subgoal
  
  PROP : sbi
  BiFUpd0 : BiFUpd PROP
  X : Type
  E1, E2 : coPset.coPset
  α : X → PROP
  β : X → PROP
  γ : X → option PROP
  ============================
  "Hacc" : ∃ x : X, α x ∗ (β x ={E2,E1}=∗ default emp (γ x))
  --------------------------------------∗
  |={E2,E1}=> True
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"print_long_line_1"
     : string
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1 subgoal
  
  PROP : sbi
  BiFUpd0 : BiFUpd PROP
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  P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P : PROP
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  ============================
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  "HP" : P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P
         ∗ P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P
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  --------------------------------------∗
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  True
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1 subgoal
  
  PROP : sbi
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  BiFUpd0 : BiFUpd PROP
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  P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P : PROP
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  ============================
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  _ : P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P
      ∗ P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P
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  --------------------------------------∗
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  True
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"print_long_line_2"
     : string
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1 subgoal
  
  PROP : sbi
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  BiFUpd0 : BiFUpd PROP
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  P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P : PROP
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  ============================
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  "HP" : TESTNOTATION {{ P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P |
         P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P }}
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  --------------------------------------∗
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  True
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1 subgoal
  
  PROP : sbi
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  BiFUpd0 : BiFUpd PROP
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  P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P : PROP
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  ============================
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  _ : TESTNOTATION {{ P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P |
      P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P_P }}
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  --------------------------------------∗
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  True
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"long_impl"
     : string
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1 subgoal
  
  PROP : sbi
  BiFUpd0 : BiFUpd PROP
  PPPPPPPPPPPPPPPPP, QQQQQQQQQQQQQQQQQQ : PROP
  ============================
  --------------------------------------∗
  PPPPPPPPPPPPPPPPP
  → QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ
  
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"long_impl_nested"
     : string
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1 subgoal
  
  PROP : sbi
  BiFUpd0 : BiFUpd PROP
  PPPPPPPPPPPPPPPPP, QQQQQQQQQQQQQQQQQQ : PROP
  ============================
  --------------------------------------∗
  PPPPPPPPPPPPPPPPP
  → QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ
    → QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ
  
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"long_wand"
     : string
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1 subgoal
  
  PROP : sbi
  BiFUpd0 : BiFUpd PROP
  PPPPPPPPPPPPPPPPP, QQQQQQQQQQQQQQQQQQ : PROP
  ============================
  --------------------------------------∗
  PPPPPPPPPPPPPPPPP
  -∗ QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ
  
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"long_wand_nested"
     : string
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1 subgoal
  
  PROP : sbi
  BiFUpd0 : BiFUpd PROP
  PPPPPPPPPPPPPPPPP, QQQQQQQQQQQQQQQQQQ : PROP
  ============================
  --------------------------------------∗
  PPPPPPPPPPPPPPPPP
  -∗ QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ
     -∗ QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ
  
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"long_fupd"
     : string
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1 subgoal
  
  PROP : sbi
  BiFUpd0 : BiFUpd PROP
  E : coPset.coPset
  PPPPPPPPPPPPPPPPP, QQQQQQQQQQQQQQQQQQ : PROP
  ============================
  --------------------------------------∗
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  PPPPPPPPPPPPPPPPP
  ={E}=∗ QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ
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"long_fupd_nested"
     : string
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1 subgoal
  
  PROP : sbi
  BiFUpd0 : BiFUpd PROP
  E1, E2 : coPset.coPset
  PPPPPPPPPPPPPPPPP, QQQQQQQQQQQQQQQQQQ : PROP
  ============================
  --------------------------------------∗
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  PPPPPPPPPPPPPPPPP
  ={E1,E2}=∗ QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ
             ={E1,E2}=∗ QQQQQQQQQQQQQQQQQQ ∗ QQQQQQQQQQQQQQQQQQ
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"iAlways_spatial_non_empty"
     : string
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The command has indeed failed with message:
In nested Ltac calls to "iAlways", "iModIntro" and 
"iModIntro (uconstr)", last call failed.
Tactic failure: iModIntro: spatial context is non-empty.
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"iDestruct_bad_name"
     : string
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The command has indeed failed with message:
In nested Ltac calls to "iDestruct (open_constr) as (constr)",
"iDestructCore (open_constr) as (constr) (tactic)" and
"iDestructCore (open_constr) as (constr) (tactic)", last call failed.
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Tactic failure: iDestruct: "HQ" not found.
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"iIntros_dup_name"
     : string
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The command has indeed failed with message:
In nested Ltac calls to "iIntros (constr)", "iIntros_go" and
"iIntro (constr)", last call failed.
Tactic failure: iIntro: "HP" not fresh.
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The command has indeed failed with message:
In nested Ltac calls to "iIntros ( (intropattern) )",
"iIntro ( (intropattern) )" and "intros x", last call failed.
x is already used.
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"iSplit_one_of_many"
     : string
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The command has indeed failed with message:
Ltac call to "iSplitL (constr)" failed.
Tactic failure: iSplitL: hypotheses ["HPx"] not found.
The command has indeed failed with message:
Ltac call to "iSplitL (constr)" failed.
Tactic failure: iSplitL: hypotheses ["HPx"] not found.
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"iExact_fail"
     : string
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The command has indeed failed with message:
Ltac call to "iExact (constr)" failed.
Tactic failure: iExact: "HQ" not found.
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The command has indeed failed with message:
Ltac call to "iExact (constr)" failed.
Tactic failure: iExact: "HQ" : Q does not match goal.
The command has indeed failed with message:
Ltac call to "iExact (constr)" failed.
Tactic failure: iExact: "HP"
not absorbing and the remaining hypotheses not affine.
"iClear_fail"
     : string
The command has indeed failed with message:
In nested Ltac calls to "iClear (constr)", "iElaborateSelPat" and
"<iris.proofmode.ltac_tactics.iElaborateSelPat_go>", last call failed.
Tactic failure: iElaborateSelPat: "HP" not found.
The command has indeed failed with message:
In nested Ltac calls to "iClear (constr)",
"<iris.proofmode.ltac_tactics.iClear_go>" and
"<iris.proofmode.ltac_tactics.iClearHyp>", last call failed.
Tactic failure: iClear: "HP" : P not affine and the goal not absorbing.
"iSpecializeArgs_fail"
     : string
The command has indeed failed with message:
In nested Ltac calls to "iSpecialize (open_constr)",
"iSpecializeCore (open_constr) as (constr)",
"iSpecializeCore (open_constr) as (constr)",
"iSpecializeCore (open_constr) with (open_constr) (open_constr) as (constr)",
"iSpecializeArgs (constr) (open_constr)",
"<iris.proofmode.ltac_tactics.iSpecializeArgs_go>" and
"notypeclasses refine (uconstr)", last call failed.
In environment
PROP : sbi
P : PROP
The term "true" has type "bool" while it is expected to have type "nat".
"iStartProof_fail"
     : string
The command has indeed failed with message:
In nested Ltac calls to "iStartProof" and "iStartProof", last call failed.
Tactic failure: iStartProof: not a BI assertion.
"iPoseProof_fail"
     : string
The command has indeed failed with message:
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In nested Ltac calls to "iPoseProof (open_constr) as (constr)",
"iPoseProofCore (open_constr) as (constr) (constr) (tactic)",
"<iris.proofmode.ltac_tactics.iPoseProofCore_go>" and
"<iris.proofmode.ltac_tactics.iIntoEmpValid>", last call failed.
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Tactic failure: iPoseProof: not a BI assertion.
The command has indeed failed with message:
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In nested Ltac calls to "iPoseProof (open_constr) as (constr)",
"iPoseProofCore (open_constr) as (constr) (constr) (tactic)", 
"tac" (bound to fun H => iDestructHyp H as pat),
"iDestructHyp (constr) as (constr)",
"<iris.proofmode.ltac_tactics.iDestructHypFindPat>",
"<iris.proofmode.ltac_tactics.iDestructHypGo>" and
"iRename (constr) into (constr)", last call failed.
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Tactic failure: iRename: "H" not fresh.
"iRevert_fail"
     : string
The command has indeed failed with message:
In nested Ltac calls to "iRevert (constr)", "iElaborateSelPat" and
"<iris.proofmode.ltac_tactics.iElaborateSelPat_go>", last call failed.
Tactic failure: iElaborateSelPat: "H" not found.
"iDestruct_fail"
     : string
The command has indeed failed with message:
In nested Ltac calls to "iDestruct (open_constr) as (constr)",
"iDestructCore (open_constr) as (constr) (tactic)",
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"iDestructCore (open_constr) as (constr) (tactic)",
"iDestructCore (open_constr) as (constr) (tactic)", 
"tac" (bound to fun H => iDestructHyp H as pat),
"iDestructHyp (constr) as (constr)",
"<iris.proofmode.ltac_tactics.iDestructHypFindPat>" and
"<iris.proofmode.ltac_tactics.iDestructHypFindPat>", last call failed.
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Tactic failure: iDestruct: "{HP}"
should contain exactly one proper introduction pattern.
The command has indeed failed with message:
In nested Ltac calls to "iDestruct (open_constr) as (constr)",
"iDestructCore (open_constr) as (constr) (tactic)",
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"iDestructCore (open_constr) as (constr) (tactic)",
"iDestructCore (open_constr) as (constr) (tactic)", 
"tac" (bound to fun H => iDestructHyp H as pat),
"iDestructHyp (constr) as (constr)",
"<iris.proofmode.ltac_tactics.iDestructHypFindPat>" and
"<iris.proofmode.ltac_tactics.iDestructHypGo>", last call failed.
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Tactic failure: iDestruct: (IList [[IClear (sel_patterns.SelIdent "HP")]])
invalid.
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"iApply_fail"
     : string
The command has indeed failed with message:
In nested Ltac calls to "iApply (open_constr)",
"iPoseProofCore (open_constr) as (constr) (constr) (tactic)",
"<iris.proofmode.ltac_tactics.iPoseProofCore_go>",
"<iris.proofmode.ltac_tactics.iPoseProofCore_go>",
"<iris.proofmode.ltac_tactics.iPoseProofCore_go>", 
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"goal_tac" (bound to fun _ => spec_tac ltac:(()); [ .. | tac Htmp ]), 
"tac" (bound to fun H => iApplyHyp H) and "iApplyHyp (constr)", last call
failed.
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Tactic failure: iApply: cannot apply P.