Theorems · Theorem · group theory
IsAddUnit.addSubmonoid.coe_neg
∀ {M : Type u_1} [inst : AddMonoid M] (x : ↥(IsAddUnit.addSubmonoid M)), ↑(-x) = ↑(-IsAddUnit.addUnit ⋯)- Defined in
- Mathlib.GroupTheory.Submonoid.Inverses
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice
- 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 · cited by 1,178
- Subtype.propstatement · cited by 505
- AddUnitsstatement · cited by 325
- AddUnits.valstatement · cited by 248
- IsAddUnit.addUnitstatement · cited by 30
- IsAddUnit.addSubmonoidstatement and proof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- AddSubmonoid.IsUnit.Submonoid.coe_negproof · cited by 0