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stdpp
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2df65b35
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2df65b35
authored
3 years ago
by
Paolo G. Giarrusso
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well_founded.v: add Acc_dep_ind induction principle for Acc
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countable.v: prove choose_proper
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@@ -55,3 +55,14 @@ Proof.
apply
HF
;
intros
.
apply
Fix_F_proper
;
auto
.
Qed
.
(**
Generate an induction principle for [Acc] for reasoning about recursion on
[Acc], such as [countable.choose_proper].
We need an induction principle to prove predicates of [Acc] values, with
conclusion [∀ (x : A) (a : Acc R x), P x a]. Instead, [Acc_ind] has conclusion
[∀ x : A, Acc R x → P x], as if it were generated by
[Scheme Acc_rect := Minimality for Acc Sort Prop.]
*)
Scheme
Acc_dep_ind
:=
Induction
for
Acc
Sort
Prop
.
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