Theorems · Definition · group theory
Submonoid.fromCommLeftInv
{M : Type u_1} → [inst : CommMonoid M] → (S : Submonoid M) → ↥S.leftInv →* ↥SThe MonoidHom from S.leftInv to S sending an element to its right 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
- CommMonoid
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.
- MonoidHomstatement · cited by 3,629
- Submonoidstatement and proof · cited by 3,086
- CommMonoidstatement and proof · cited by 2,264
- Submonoid.leftInvstatement · cited by 20
- Submonoid.fromLeftInvproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- Submonoid.leftInvEquivproof · cited by 9
- Submonoid.leftInvEquiv_applystatement · cited by 2
- Submonoid.fromCommLeftInv_applystatement and proof · cited by 0