Theorems · Theorem · group theory
AddSubmonoid.val_neg_addUnitsEquivAddUnitsType_symm_apply_coe
∀ {M : Type u_1} [inst : AddMonoid M] (S : AddSubmonoid M) (x : AddUnits ↥S),
↑(-↑(S.addUnitsEquivAddUnitsType.symm x)) = ↑↑(-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
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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
- AddSubgroupstatement · cited by 3,232
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidstatement and proof · cited by 1,178
- AddEquivstatement · cited by 1,087
- AddEquiv.symmstatement and proof · cited by 530
- AddUnitsstatement and proof · cited by 325
- AddUnits.valstatement and proof · cited by 248
- AddSubmonoid.addUnitsstatement · cited by 32
- AddSubmonoid.addUnitsEquivAddUnitsTypestatement and proof · cited by 4
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