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Theorems · Theorem · functional analysis

Subalgebra.topologicalClosure.congr_simp

∀ {R : Type u_1} [inst : CommSemiring R] {A : Type u_2} [inst_1 : Semiring A] [inst_2 : TopologicalSpace A]
  [inst_3 : Algebra R A] [inst_4 : IsSemitopologicalSemiring A] (s s_1 : Subalgebra R A),
  s = s_1 → s.topologicalClosure = s_1.topologicalClosure
Defined in
Mathlib.Topology.Algebra.Algebra
Cited by
1 results in Mathlib
Foundations
Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringSemiringTopologicalSpaceAlgebraIsSemitopologicalSemiring
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Subalgebra.topologicalClosure_star_comm · cited by 0Subalgebra.topologicalClo…TopologicalSpace · cited by 24529TopologicalSpaceSemiring · cited by 13802SemiringAlgebra · cited by 11388AlgebraCommSemiring · cited by 10911CommSemiringSubalgebra · cited by 1353SubalgebraIsSemitopologicalSemiring · cited by 88IsSemitopologicalSemiringSubalgebra.topologicalClosure · cited by 26Subalgebra.topologicalClo…topologicalClosure.congr_simpCITED BYCITES

Cites7

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Cited by1

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