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Theorems · Definition · functional analysis

Subalgebra.valA

{R : Type u_1} →
  [inst : CommSemiring R] →
    {A : Type u_2} →
      [inst_1 : Semiring A] → [inst_2 : TopologicalSpace A] → [inst_3 : Algebra R A] → (p : Subalgebra R A) → ↥p →A[R] A

Subalgebra.val as a ContinuousAlgHom.

Defined in
Mathlib.Topology.Algebra.Algebra
Cited by
4 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringSemiringTopologicalSpaceAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Subalgebra.coe_valA · cited by 0Subalgebra.coe_valASubalgebra.coe_valA' · cited by 0Subalgebra.coe_valA'Subalgebra.valA_apply · cited by 0Subalgebra.valA_applySubmodule.range_valA · cited by 0Submodule.range_valATopologicalSpace · cited by 24529TopologicalSpaceSemiring · cited by 13802SemiringAlgebra · cited by 11388AlgebraCommSemiring · cited by 10911CommSemiringAlgHom · cited by 3236AlgHomSubalgebra · cited by 1353SubalgebraSubalgebra.val · cited by 104Subalgebra.valContinuousAlgHom · cited by 71ContinuousAlgHomSubalgebra.valACITED BYCITES

Cites8

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.