Theorems · Theorem · general topology

ContinuousMap.unitsOfForallIsUnit_apply

∀ {X : Type u_1} {R : Type u_3} [inst : TopologicalSpace X] [inst_1 : NormedRing R] [inst_2 : CompleteSpace R]
  {f : C(X, R)} (h : ∀ (x : X), IsUnit (f x)) (x : X), (ContinuousMap.unitsOfForallIsUnit h) x = ⋯.unit

Defined in

Mathlib.Topology.ContinuousMap.Units

Cited by

0 results in Mathlib

Foundations

Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceNormedRingCompleteSpace