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Theorems · Definition · group theory

Con.mkMulHom

{M : Type u_1} → [inst : Mul M] → (c : Con M) → M →ₙ* c.Quotient

The natural homomorphism from a magma to its quotient by a congruence relation.

Defined in
Mathlib.GroupTheory.Congruence.Hom
Cited by
2 results in Mathlib
Foundations
Depth 11 from the axioms · uses Quot.sound
Assumes
Mul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Con.mk' · cited by 22Con.mk'Con.ker_mkMulHom_eq · cited by 0Con.ker_mkMulHom_eqCon.mkMulHom_apply · cited by 0Con.mkMulHom_applyCon.correspondence · cited by 0Con.correspondenceMulHom · cited by 299MulHomCon · cited by 152ConCon.Quotient · cited by 48Con.QuotientCon.toQuotient · cited by 33Con.toQuotientCon.mkMulHomCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.