Theorems · Theorem · group theory
AddSubmonoid.val_neg_addUnitsEquivAddUnitsType_apply_coe
∀ {M : Type u_1} [inst : AddMonoid M] (S : AddSubmonoid M) (x : ↥S.addUnits),
↑↑(-S.addUnitsEquivAddUnitsType x) = (AddUnits.coeHom M) (-↑x)- Defined in
- Mathlib.Algebra.Group.Submonoid.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- AddMonoid
Around this declaration
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Cites11
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
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidstatement and proof · cited by 1,178
- AddEquivstatement · cited by 1,087
- AddUnitsstatement and proof · cited by 325
- AddUnits.valstatement and proof · cited by 248
- AddSubmonoid.addUnitsstatement and proof · cited by 32
- AddUnits.coeHomstatement · cited by 15
- AddSubmonoid.addUnitsEquivAddUnitsTypestatement and proof · cited by 4
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