Theorems · Theorem · commutative algebra
gcd_mul_right
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : StrongNormalizedGCDMonoid α] (a b c : α),
gcd (b * a) (c * a) = gcd b c * normalize a- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_commproof · cited by 2,262
- CommMonoidWithZerostatement and proof · cited by 913
- GCDMonoid.gcdstatement and proof · cited by 143
- normalizestatement and proof · cited by 137
- StrongNormalizedGCDMonoidstatement and proof · cited by 13
- gcd_mul_leftproof · cited by 2
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