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1b925f41
Commit
1b925f41
authored
Nov 07, 2019
by
Robbert Krebbers
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Improve documentation of `iIntoEmpValid`.
parent
0412acb4
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ltac_tactics.v
theories/proofmode/ltac_tactics.v
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theories/proofmode/ltac_tactics.v
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1b925f41
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@@ -720,23 +720,25 @@ Notation "( H $! x1 .. xn 'with' pat )" :=
(
ITrm
H
(
hcons
x1
..
(
hcons
xn
hnil
)
..)
pat
)
(
at
level
0
,
x1
,
xn
at
level
9
).
Notation
"( H 'with' pat )"
:=
(
ITrm
H
hnil
pat
)
(
at
level
0
).
(* The tactic [iIntoEmpValid] tactic solves a goal [bi_emp_valid Q]. The
(* The tactic [iIntoEmpValid] tactic solves a goal [bi_emp_valid
?
Q]. The
argument [t] must be a Coq term whose type is of the following shape:
[∀ (x_1 : A_1) .. (x_n : A_n), φ]
and so that we have an instance `AsValid φ Q`
.
for which we have an instance [AsEmpValid φ ?Q]
.
Examples of such [φ]s are
- [bi_emp_valid P], in which case [Q]
should be [P]
- [P1 ⊢ P2], in which case [Q]
should be [P1 -∗ P2]
- [P1 ⊣⊢ P2], in which case [Q]
should be [P1 ↔ P2]
- [bi_emp_valid P], in which case [Q]
is unified with [P].
- [P1 ⊢ P2], in which case [Q]
is unified with [P1 -∗ P2].
- [P1 ⊣⊢ P2], in which case [Q]
is unified with [P1 ↔ P2].
The tactic instantiates each dependent argument [x_i] with an evar and generates
a goal [R] for each non-dependent argument [x_i : R]. For example, if the
original goal was [Q] and [t] has type [∀ x, P x → Q], then it generates an evar
[?x] for [x] and a subgoal [P ?x]. *)
The tactic instantiates each dependent argument [x_i : A_i] with an evar and
generates a goal [A_i] for each non-dependent argument [x_i : A_i].
For example, if the initial goal is [bi_emp_valid ?Q] and [t] has type
[∀ x, P x → R x], then it generates an evar [?x] for [x], a subgoal [P ?x],
and unifies [?Q] with [R x]. *)
Local
Ltac
iIntoEmpValid
t
:=
let
go_specialize
t
tT
:=
lazymatch
tT
with
(* We do not use hnf of tT, because, if
...
...
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