Theorems · Theorem · group theory
MulEquivClass.isDedekindFiniteMonoid_iff
∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : EquivLike F α β] [inst_1 : MulOne α] [inst_2 : MulOne β]
[MulEquivClass F α β] [OneHomClass F α β] (f : F), IsDedekindFiniteMonoid α ↔ IsDedekindFiniteMonoid β- Defined in
- Mathlib.Algebra.Group.Equiv.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- MulEquivproof · cited by 1,142
- map_oneproof · cited by 861
- MulEquiv.symmproof · cited by 482
- EquivLikestatement and proof · cited by 165
- MulEquiv.toEquivproof · cited by 126
- Equiv.right_invproof · cited by 68
- MulOnestatement and proof · cited by 65
- MulEquivClass.toMulEquivproof · cited by 57
- OneHomClassstatement and proof · cited by 38
- MulEquiv.injectiveproof · cited by 36
Cited by1
Results whose statement or proof uses this declaration.
- isStablyFiniteRing_iff_isDedekindFiniteMonoid_moduleEndproof · cited by 0