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Simon Spies
stdpp
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162d4f32
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162d4f32
authored
Jun 27, 2019
by
Simon Spies
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lt vs gt
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theories/list.v
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162d4f32
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@@ -3349,7 +3349,7 @@ Section seqZ.
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@@ -3349,7 +3349,7 @@ Section seqZ.
Local Open Scope Z.
Local Open Scope Z.
Lemma seqZ_nil m n: n ≤ 0 → seqZ m n = [].
Lemma seqZ_nil m n: n ≤ 0 → seqZ m n = [].
Proof. by destruct n. Qed.
Proof. by destruct n. Qed.
Lemma seqZ_cons m n:
n > 0
→ seqZ m n = m :: seqZ (Z.succ m) (Z.pred n).
Lemma seqZ_cons m n:
0 < n
→ seqZ m n = m :: seqZ (Z.succ m) (Z.pred n).
Proof.
Proof.
intros H. unfold seqZ. replace n with (Z.succ (Z.pred n)) at 1 by lia.
intros H. unfold seqZ. replace n with (Z.succ (Z.pred n)) at 1 by lia.
rewrite Z2Nat.inj_succ by lia. f_equal/=.
rewrite Z2Nat.inj_succ by lia. f_equal/=.
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