Theorems · Theorem · group theory
AddSubmonoid.coe_neg_val_add_coe_val
∀ {M : Type u_1} [inst : AddMonoid M] (S : AddSubmonoid M) {x : AddUnits ↥S}, ↑↑(-x) + ↑↑x = 0- Defined in
- Mathlib.Algebra.Group.Submonoid.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidstatement and proof · cited by 1,178
- AddUnitsstatement and proof · cited by 325
- AddUnits.valstatement · cited by 248
- AddSubmonoid.subtypeproof · cited by 28
- DFunLike.congr_argproof · cited by 28
- AddUnits.neg_addproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- AddSubmonoid.addUnitsEquivAddUnitsTypeproof · cited by 4