Theorems · Theorem · commutative algebra
MulEquiv.uniqueFactorizationMonoid
∀ {α : Type u_1} {β : Type u_2} [inst : CommMonoidWithZero α] [inst_1 : CommMonoidWithZero β] (e : α ≃* β),
UniqueFactorizationMonoid α → UniqueFactorizationMonoid β- Cited by
- 3 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MonoidHomproof · cited by 3,629
- Unitsproof · cited by 2,804
- Multisetproof · cited by 2,627
- Units.valproof · cited by 1,966
- map_zeroproof · cited by 1,614
- MulEquivstatement and proof · cited by 1,142
- map_mulproof · cited by 1,137
- CommMonoidWithZerostatement and proof · cited by 913
- Multiset.mapproof · cited by 876
- Multiset.prodproof · cited by 528
- MulEquiv.symmproof · cited by 482
Cited by3
Results whose statement or proof uses this declaration.
- exists_isTranscendenceBasis_and_isSeparable_of_linearIndepOn_powproof · cited by 2
- Transcendental.uniqueFactorizationMonoid_adjoinproof · cited by 1
- MulEquiv.uniqueFactorizationMonoid_iffproof · cited by 0