Theorems · Theorem · general topology

Path.continuous_uncurry_extend_of_continuous_family

∀ {X : Type u_1} [inst : TopologicalSpace X] {ι : Type u_4} [inst_1 : TopologicalSpace ι] {a b : ι → X}
  (γ : (t : ι) → Path (a t) (b t)), Continuous ↿γ → Continuous ↿fun t => ⇑(γ t).extend

Defined in

Mathlib.Topology.Path

Cited by

1 results in Mathlib

Foundations

Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace