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stdpp
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!110
Add decidability instances for Z.gt and Z.ge
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Add decidability instances for Z.gt and Z.ge
tchajed/stdpp:z-greater-decidability
into
master
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Tej Chajed
requested to merge
tchajed/stdpp:z-greater-decidability
into
master
5 years ago
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Unfortunately these are not just defined as flipped versions of
Z.lt
and
Z.ge
.
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@@ -368,6 +368,8 @@ Proof. intros n1 n2. apply Nat2Z.inj. Qed.
Instance
Z_eq_dec
:
EqDecision
Z
:=
Z
.
eq_dec
.
Instance
Z_le_dec
:
RelDecision
Z
.
le
:=
Z_le_dec
.
Instance
Z_lt_dec
:
RelDecision
Z
.
lt
:=
Z_lt_dec
.
Instance
Z_ge_dec
:
RelDecision
Z
.
ge
:=
Z_ge_dec
.
Instance
Z_gt_dec
:
RelDecision
Z
.
gt
:=
Z_gt_dec
.
Instance
Z_inhabited
:
Inhabited
Z
:=
populate
1
.
Instance
Z_lt_pi
x
y
:
ProofIrrel
(
x
<
y
)
.
Proof
.
unfold
Z
.
lt
.
apply
_
.
Qed
.
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