Mathlib Map

Theorems · Definition · group theory

MulHom.eqLocus

{M : Type u_1} → {N : Type u_2} → [inst : Mul M] → [inst_1 : Mul N] → (M →ₙ* N) → (M →ₙ* N) → Subsemigroup M

The subsemigroup of elements x : M such that f x = g x

Defined in
Mathlib.Algebra.Group.Subsemigroup.Defs
Cited by
2 results in Mathlib
Foundations
Depth 11 from the axioms · uses propext
Assumes
MulMul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

NonUnitalRingHom.eqLocus · cited by 3NonUnitalRingHom.eqLocusNonUnitalRingHom.eqSlocus · cited by 1NonUnitalRingHom.eqSlocusMulHom.eqOn_closure · cited by 1MulHom.eqOn_closureMulHom.mem_eqLocus · cited by 0MulHom.mem_eqLocusDFunLike.coe · cited by 62936DFunLike.coeSet.ofPred · cited by 6101Set.ofPredSubsemigroup · cited by 323SubsemigroupMulHom · cited by 299MulHomMulHom.eqLocusCITED 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.