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Theorems · Theorem · number theory

Nat.gcd_greatest

∀ {a b d : ℕ}, d ∣ a → d ∣ b → (∀ (e : ℕ), e ∣ a → e ∣ b → e ∣ d) → d = a.gcd b
Defined in
Mathlib.Data.Nat.GCD.Basic
Cited by
1 results in Mathlib
Foundations
Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
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Nat.factorization_gcd · cited by 2Nat.factorization_gcddvd_antisymm · cited by 23dvd_antisymmNat.gcd_greatestCITED BYCITES

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