Theorems · Theorem · general topology

equicontinuous_of_equicontinuousAt_one

∀ {ι : Type u_1} {G : Type u_2} {M : Type u_3} {hom : Type u_4} [inst : TopologicalSpace G] [inst_1 : UniformSpace M]
  [inst_2 : Group G] [inst_3 : Group M] [IsTopologicalGroup G] [IsUniformGroup M] [inst_6 : FunLike hom G M]
  [MonoidHomClass hom G M] (F : ι → hom), EquicontinuousAt (DFunLike.coe ∘ F) 1 → Equicontinuous (DFunLike.coe ∘ F)

Defined in

Mathlib.Topology.Algebra.Equicontinuity

Cited by

1 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceUniformSpaceGroupGroupIsTopologicalGroupIsUniformGroupFunLikeMonoidHomClass