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Theorems · Theorem · ring theory

AlgHom.le_equalizer

∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
  [inst_3 : Semiring B] [inst_4 : Algebra R B] {φ ψ : A →ₐ[R] B} {S : Subalgebra R A},
  S ≤ φ.equalizer ψ ↔ Set.EqOn ⇑φ ⇑ψ ↑S
Defined in
Mathlib.Algebra.Algebra.Subalgebra.Basic
Cited by
1 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringSemiringAlgebraSemiringAlgebra
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Around this declaration

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

AlgHom.eqOn_sup · cited by 1AlgHom.eqOn_supDFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringAlgebra · cited by 11388AlgebraCommSemiring · cited by 10911CommSemiringSetLike.coe · cited by 8199SetLike.coeAlgHom · cited by 3236AlgHomSubalgebra · cited by 1353SubalgebraSet.EqOn · cited by 603Set.EqOnAlgHom.equalizer · cited by 21AlgHom.equalizerAlgHom.le_equalizerCITED BYCITES

Cites9

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Cited by1

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