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Theorems · Theorem · commutative algebra

lcm_one_right

∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] (a : α), lcm a 1 = normalize a
Defined in
Mathlib.Algebra.GCDMonoid.Basic
Cited by
1 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidWithZeroNormalizedGCDMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Multiset.lcm_singleton · cited by 5Multiset.lcm_singletonCommMonoidWithZero · cited by 913CommMonoidWithZeroNormalizedGCDMonoid · cited by 159NormalizedGCDMonoidnormalize · cited by 137normalizeGCDMonoid.lcm · cited by 78GCDMonoid.lcmlcm_units_coe_right · cited by 1lcm_units_coe_rightlcm_one_rightCITED BYCITES

Cites5

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Cited by1

Results whose statement or proof uses this declaration.