Theorems · Theorem · commutative algebra
gcd_dvd_gcd_mul_left
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : GCDMonoid α] (m n k : α), gcd m n ∣ gcd (k * m) n- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- CommMonoidWithZeroGCDMonoid
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Cites6
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 and proof · cited by 143
- dvd_reflproof · cited by 97
- GCDMonoidstatement and proof · cited by 96
- dvd_mul_leftproof · cited by 47
- gcd_dvd_gcdproof · cited by 8
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