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Update PrimStringAxioms.v.in #787

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Feb 26, 2025
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Update PrimStringAxioms.v.in #787

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12 changes: 3 additions & 9 deletions theories/core/PrimStringAxioms.v.in
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Original file line number Diff line number Diff line change
Expand Up @@ -2,7 +2,7 @@
#[only="8.20"] Definition compare_ok := compare_eq.

#[skip="8.20"] From Corelib Require Import ssreflect ssrbool Uint63Axioms PrimStringAxioms.
#[skip="8.20"] Lemma compare_refl (s : string) : compare s s = Eq.
#[skip="8.20"] Lemma compare_Eq_refl (s : string) : compare s s = Eq.
#[skip="8.20"] Proof.
#[skip="8.20"] rewrite PrimStringAxioms.compare_spec.
#[skip="8.20"] elim: (to_list s) => //= x xs ->.
Expand All @@ -11,13 +11,7 @@
#[skip="8.20"] have [+ _] := ltb_spec x x.
#[skip="8.20"] by case: ltb => // /(_ isT); case: (to_Z x) => //=; elim.
#[skip="8.20"] Qed.
#[skip="8.20"] Lemma to_list_inj (s1 s2 : string) :
#[skip="8.20"] to_list s1 = to_list s2 -> s1 = s2.
#[skip="8.20"] Proof.
#[skip="8.20"] intros H. rewrite -(of_to_list s1) -(of_to_list s2) H.
#[skip="8.20"] reflexivity.
#[skip="8.20"] Qed.
#[skip="8.20"] Lemma compare_eq_correct (s1 s2 : string) :
#[skip="8.20"] Lemma compare_Eq_correct (s1 s2 : string) :
#[skip="8.20"] compare s1 s2 = Eq -> s1 = s2.
#[skip="8.20"] Proof.
#[skip="8.20"] move=> E; rewrite -[s1]of_to_list -[s2]of_to_list; congr (of_list _).
Expand All @@ -31,4 +25,4 @@
#[skip="8.20"] by case: ltb.
#[skip="8.20"] Qed.
#[skip="8.20"] Lemma compare_ok (s1 s2 : string) : compare s1 s2 = Eq <-> s1 = s2.
#[skip="8.20"] Proof. split; [apply compare_eq_correct|intros []; apply compare_refl]. Qed.
#[skip="8.20"] Proof. split; [apply compare_Eq_correct|intros []; apply compare_Eq_refl]. Qed.
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