Theorems · Theorem · ring theory

AlgHom.eqOn_sup

∀ {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] {F : Type u_4} [inst_5 : FunLike F A B] [AlgHomClass F R A B] {φ ψ : F}
  {S T : Subalgebra R A}, Set.EqOn ⇑φ ⇑ψ ↑S → Set.EqOn ⇑φ ⇑ψ ↑T → Set.EqOn ⇑φ ⇑ψ ↑(S ⊔ T)

Defined in

Mathlib.Algebra.Algebra.Subalgebra.Lattice

Cited by

1 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebraSemiringAlgebraFunLikeAlgHomClass