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1 parent d2b0e9a commit 9076c9bCopy full SHA for 9076c9b
src/Data/Nat/Properties.agda
@@ -418,8 +418,7 @@ m<n⇒n≢0 : ∀ {m n} → m < n → n ≢ 0
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m<n⇒n≢0 (s≤s m≤n) ()
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m<n⇒m≤1+n : ∀ {m n} → m < n → m ≤ suc n
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-m<n⇒m≤1+n (s≤s z≤n) = z≤n
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-m<n⇒m≤1+n (s≤s (s≤s m<n)) = s≤s (m<n⇒m≤1+n (s≤s m<n))
+m<n⇒m≤1+n = ≤-step ∘ <⇒≤
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∀[m≤n⇒m≢o]⇒n<o : ∀ n o → (∀ {m} → m ≤ n → m ≢ o) → n < o
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∀[m≤n⇒m≢o]⇒n<o _ zero m≤n⇒n≢0 = contradiction refl (m≤n⇒n≢0 z≤n)
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