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Theorems · Theorem · commutative algebra

Associates.out_mk

∀ {α : Type u_1} [inst : MonoidWithZero α] [inst_1 : NormalizationMonoid α] (a : α), (Associates.mk a).out = normalize a
Defined in
Mathlib.Algebra.GCDMonoid.Basic
Cited by
2 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MonoidWithZeroNormalizationMonoid
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Around this declaration

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

UniqueFactorizationMonoid.normalizedFactors_mul · cited by 11UniqueFactorizationMonoid…Associated.normalizedFactors_eq · cited by 2Associated.normalizedFact…MonoidWithZero · cited by 456MonoidWithZeroNormalizationMonoid · cited by 165NormalizationMonoidnormalize · cited by 137normalizeAssociates.mk · cited by 137Associates.mkAssociates.out · cited by 15Associates.outAssociates.out_mkCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.