Theorems · Theorem · commutative algebra
factorization_one
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : UniqueFactorizationMonoid α] [inst_2 : NormalizationMonoid α]
[inst_3 : DecidableEq α], factorization 1 = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsuppstatement · cited by 5,255
- map_zeroproof · cited by 1,614
- CommMonoidWithZerostatement and proof · cited by 913
- UniqueFactorizationMonoidstatement and proof · cited by 279
- NormalizationMonoidstatement and proof · cited by 165
- Multiset.toFinsuppproof · cited by 33
- factorizationstatement · cited by 9
- UniqueFactorizationMonoid.normalizedFactors_oneproof · cited by 8
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