Theorems · Theorem · group theory
Con.hom_ext_iff
∀ {M : Type u_1} {P : Type u_3} [inst : MulOneClass M] [inst_1 : MulOneClass P] {c : Con M} {f g : c.Quotient →* P},
f = g ↔ f.comp c.mk' = g.comp c.mk'- Defined in
- Mathlib.GroupTheory.Congruence.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- MulOneClassMulOneClass
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidHomstatement and proof · cited by 3,629
- MulOneClassstatement and proof · cited by 1,018
- MonoidHom.compstatement and proof · cited by 469
- Constatement and proof · cited by 152
- Con.Quotientstatement and proof · cited by 48
- Con.mk'statement and proof · cited by 22
- Con.hom_extproof · cited by 3
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