Theorems · Theorem · group theory
MulEquiv.isUnit_map
∀ {F : Type u_1} {M : Type u_3} {N : Type u_4} [inst : Monoid M] [inst_1 : Monoid N] [inst_2 : EquivLike F M N]
[MulEquivClass F M N] (f : F) {x : M}, IsUnit (f x) ↔ IsUnit x- Defined in
- Mathlib.Algebra.Group.Units.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- IsUnitstatement and proof · cited by 1,602
- map_mulproof · cited by 1,137
- map_oneproof · cited by 861
- EquivLikestatement and proof · cited by 165
- OneHom.toFunproof · cited by 132
- IsUnit.mapproof · cited by 104
- EquivLike.invproof · cited by 42
- EquivLike.injectiveproof · cited by 32
- MulEquivClassstatement and proof · cited by 30
- EquivLike.apply_inv_applyproof · cited by 11
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.