Theorems · Theorem · commutative algebra
Dvd.dvd.lcm_right
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : GCDMonoid α] {a b : α}, a ∣ b → ∀ (c : α), a ∣ lcm b cAlias of dvd_lcm_of_dvd_left.
- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidWithZeroGCDMonoid
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidWithZerostatement · cited by 913
- GCDMonoidstatement · cited by 96
- GCDMonoid.lcmstatement · cited by 78
- dvd_lcm_of_dvd_leftproof · cited by 2
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