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Theorems · Definition · global analysis

Structomorph.refl

{H : Type u} →
  [inst : TopologicalSpace H] →
    {G : StructureGroupoid H} →
      (M : Type u_5) →
        [inst_1 : TopologicalSpace M] → [inst_2 : ChartedSpace H M] → [HasGroupoid M G] → Structomorph G M M

The identity is a diffeomorphism of any charted space, for any groupoid.

Defined in
Mathlib.Geometry.Manifold.HasGroupoid
Cited by
0 results in Mathlib
Foundations
Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceChartedSpaceHasGroupoid
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TopologicalSpace · cited by 24529TopologicalSpaceChartedSpace · cited by 2397ChartedSpaceHomeomorph · cited by 725HomeomorphOpenPartialHomeomorph · cited by 664OpenPartialHomeomorphStructureGroupoid · cited by 121StructureGroupoidatlas · cited by 60atlasHomeomorph.refl · cited by 25Homeomorph.reflHasGroupoid · cited by 19HasGroupoidStructomorph · cited by 4StructomorphStructomorph.reflCITED BYCITES

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