Theorems · Theorem · group theory
AddEquiv.isAddUnit_map
∀ {F : Type u_1} {M : Type u_3} {N : Type u_4} [inst : AddMonoid M] [inst_1 : AddMonoid N] [inst_2 : EquivLike F M N]
[AddEquivClass F M N] (f : F) {x : M}, IsAddUnit (f x) ↔ IsAddUnit x- Defined in
- Mathlib.Algebra.Group.Units.Equiv
- Cited by
- 1 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
- AddMonoidstatement and proof · cited by 2,864
- map_zeroproof · cited by 1,614
- map_addproof · cited by 964
- IsAddUnitstatement and proof · cited by 215
- EquivLikestatement and proof · cited by 165
- ZeroHom.toFunproof · cited by 101
- EquivLike.invproof · cited by 42
- EquivLike.injectiveproof · cited by 32
- AddEquivClassstatement and proof · cited by 22
- IsAddUnit.mapproof · cited by 16
- EquivLike.apply_inv_applyproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- AddEquiv.addIrreducible_iffproof · cited by 1