Theorems · Theorem · group theory
Submonoid.val_unitsEquivUnitsType_symm_apply_coe
∀ {M : Type u_1} [inst : Monoid M] (S : Submonoid M) (x : (↥S)ˣ), ↑↑(S.unitsEquivUnitsType.symm x) = ↑↑x- Defined in
- Mathlib.Algebra.Group.Submonoid.Units
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Subgroupstatement · cited by 3,593
- Submonoidstatement and proof · cited by 3,086
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- MulEquivstatement · cited by 1,142
- MulEquiv.symmstatement and proof · cited by 482
- Submonoid.unitsstatement · cited by 40
- Submonoid.unitsEquivUnitsTypestatement and proof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- MulChar.domRestrict_ofUnitHomproof · cited by 2