Theorems · Definition · group theory
Submonoid.inclusion
{M : Type u_1} → [inst : MulOneClass M] → {S T : Submonoid M} → S ≤ T → ↥S →* ↥TThe MonoidHom associated to an inclusion of Submonoids.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- MulOneClass
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
- MulOneClassstatement and proof · cited by 1,018
- Submonoid.subtypeproof · cited by 26
- MonoidHom.codRestrictproof · cited by 8
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.SubmonoidFunctor.toFunctorproof · cited by 8
- Submonoid.inclusion_injectivestatement · cited by 1
- Submonoid.inclusion.congr_simpstatement and proof · cited by 0
- Submonoid.inclusion_injstatement · cited by 0
- Submonoid.subtype_comp_inclusionstatement · cited by 0
- CategoryTheory.SubmonoidFunctor.toFunctor_mapstatement · cited by 0
- Submonoid.coe_inclusionstatement · cited by 0