Theorems · Theorem · group theory
QuotientGroup.monoidHom_ext_iff
∀ {G : Type u_1} {M : Type u_4} [inst : Group G] [inst_1 : Monoid M] {N : Subgroup G} [nN : N.Normal]
{f g : G ⧸ N →* M}, f = g ↔ f.comp (QuotientGroup.mk' N) = g.comp (QuotientGroup.mk' N)- Defined in
- Mathlib.GroupTheory.QuotientGroup.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupMonoidSubgroup.Normal
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- HasQuotient.Quotientstatement and proof · cited by 2,301
- MonoidHom.compstatement and proof · cited by 469
- Subgroup.Normalstatement and proof · cited by 334
- QuotientGroup.mk'statement and proof · cited by 90
- QuotientGroup.monoidHom_extproof · cited by 5
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