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Theorems · Theorem · geometry

AffineIsometryEquiv.toHomeomorph_refl

∀ {𝕜 : Type u_1} {V : Type u_2} {P : Type u_10} [inst : NormedField 𝕜] [inst_1 : SeminormedAddCommGroup V]
  [inst_2 : NormedSpace 𝕜 V] [inst_3 : PseudoMetricSpace P] [inst_4 : NormedAddTorsor V P],
  (AffineIsometryEquiv.refl 𝕜 P).toHomeomorph = Homeomorph.refl P
Defined in
Mathlib.Analysis.Normed.Affine.Isometry
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Foundations
Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedFieldSeminormedAddCommGroupNormedSpacePseudoMetricSpaceNormedAddTorsor
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NormedSpace · cited by 12499NormedSpaceSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupPseudoMetricSpace · cited by 1550PseudoMetricSpaceNormedAddTorsor · cited by 1325NormedAddTorsorNormedField · cited by 1084NormedFieldHomeomorph · cited by 725HomeomorphHomeomorph.refl · cited by 25Homeomorph.reflAffineIsometryEquiv.refl · cited by 11AffineIsometryEquiv.reflAffineIsometryEquiv.toHomeomorph · cited by 6AffineIsometryEquiv.toHom…AffineIsometryEquiv.toHomeomo…CITED BYCITES

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