Theorems · Theorem · commutative algebra
StrongNormalizedGCDMonoid.normalize_gcd
∀ {α : Type u_2} {inst : CommMonoidWithZero α} [self : StrongNormalizedGCDMonoid α] (a b : α),
normalize (gcd a b) = gcd a bThe GCD is normalized to itself.
- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- StrongNormalizedGCDMonoid
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidWithZerostatement and proof · cited by 913
- GCDMonoid.gcdstatement · cited by 143
- normalizestatement · cited by 137
- StrongNormalizedGCDMonoidstatement and proof · cited by 13
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