Theorems · Theorem · group theory
Monoid.CoprodI.ext_hom
∀ {ι : Type u_1} {M : ι → Type u_2} [inst : (i : ι) → Monoid (M i)] {N : Type u_3} [inst_1 : Monoid N]
(f g : Monoid.CoprodI M →* N), (∀ (i : ι), f.comp Monoid.CoprodI.of = g.comp Monoid.CoprodI.of) → f = gSee note [partially-applied ext lemmas].
- Defined in
- Mathlib.GroupTheory.CoprodI
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- MonoidHom.compstatement and proof · cited by 469
- FreeMonoid.ofproof · cited by 69
- Monoid.CoprodIstatement and proof · cited by 52
- Monoid.CoprodI.ofstatement and proof · cited by 45
- conGenproof · cited by 23
- Con.mk'proof · cited by 22
- MonoidHom.comp_applyproof · cited by 16
- FreeMonoid.hom_eqproof · cited by 7
- Con.mk'_surjectiveproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Monoid.PushoutI.hom_extproof · cited by 2
- Monoid.CoprodI.ext_hom_iffproof · cited by 0