Theorems · Definition · group theory
AddSubmonoid.fromCommLeftNeg
{M : Type u_1} → [inst : AddCommMonoid M] → (S : AddSubmonoid M) → ↥S.leftNeg →+ ↥SThe AddMonoidHom from S.leftNeg to S sending an element to
its right additive inverse in S.
- Defined in
- Mathlib.GroupTheory.Submonoid.Inverses
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- AddMonoidHomstatement · cited by 3,230
- AddSubmonoidstatement and proof · cited by 1,178
- AddSubmonoid.leftNegstatement · cited by 19
- AddSubmonoid.fromLeftNegproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- AddSubmonoid.leftNegEquivproof · cited by 8
- AddSubmonoid.leftNegEquiv_applystatement · cited by 2
- AddSubmonoid.fromCommLeftNeg_applystatement and proof · cited by 0