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Theorems · Theorem · commutative algebra

RingCon.ker_comp

∀ {M : Type u_1} {N : Type u_2} {P : Type u_3} [inst : NonAssocSemiring M] [inst_1 : NonAssocSemiring N]
  [inst_2 : NonAssocSemiring P] {f : M →+* N} {g : N →+* P}, RingCon.ker (g.comp f) = (RingCon.ker g).comap f
Defined in
Mathlib.RingTheory.Congruence.Hom
Cited by
1 results in Mathlib
Foundations
Depth 34 from the axioms · uses propext, Quot.sound
Assumes
NonAssocSemiringNonAssocSemiringNonAssocSemiring
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Around this declaration

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

RingCon.comap_eq · cited by 0RingCon.comap_eqDFunLike.coe · cited by 62936DFunLike.coeRingHom · cited by 10189RingHomRingHom.comp · cited by 899RingHom.compNonAssocSemiring · cited by 805NonAssocSemiringRingCon · cited by 219RingConRingCon.ker · cited by 47RingCon.kerRingCon.comap · cited by 32RingCon.comapRingCon.ext · cited by 9RingCon.extRingCon.ker_compCITED BYCITES

Cites8

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Cited by1

Results whose statement or proof uses this declaration.