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Theorems · Theorem · manifolds

nonempty_of_chartedSpace

∀ {H : Type u_5} {M : Type u_6} [inst : TopologicalSpace H] [inst_1 : TopologicalSpace M] [ChartedSpace H M] (x : M),
  Nonempty H
Defined in
Mathlib.Geometry.Manifold.ChartedSpace
Cited by
4 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
TopologicalSpaceTopologicalSpaceChartedSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ChartedSpace.sum_chartAt_inl · cited by 7ChartedSpace.sum_chartAt_…ChartedSpace.sum_chartAt_inr · cited by 7ChartedSpace.sum_chartAt_…sum_chartAt_inl_apply · cited by 6sum_chartAt_inl_applysum_chartAt_inr_apply · cited by 6sum_chartAt_inr_applyTopologicalSpace · cited by 24529TopologicalSpaceChartedSpace · cited by 2397ChartedSpaceOpenPartialHomeomorph.toFun' · cited by 745OpenPartialHomeomorph.toF…chartAt · cited by 301chartAtnonempty_of_chartedSpaceCITED BYCITES

Cites4

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Cited by4

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