Theorems · Theorem · global analysis

ChartedSpace.liftPropWithinAt_subtypeVal_comp_iff

∀ {H : Type u_1} {M : Type u_2} {H' : Type u_3} {M' : Type u_4} [inst : TopologicalSpace H]
  [inst_1 : TopologicalSpace M] [inst_2 : ChartedSpace H M] [inst_3 : TopologicalSpace H']
  [inst_4 : TopologicalSpace M'] [inst_5 : ChartedSpace H' M'] {P : (H → H') → Set H → H → Prop}
  {U : TopologicalSpace.Opens M'} (f : M → ↥U) (s : Set M) (x : M),
  ChartedSpace.LiftPropWithinAt P (Subtype.val ∘ f) s x ↔ ChartedSpace.LiftPropWithinAt P f s x

Defined in

Mathlib.Geometry.Manifold.LocalInvariantProperties

Cited by

1 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceChartedSpaceTopologicalSpaceTopologicalSpaceChartedSpace