Theorems · Theorem · general topology

OpenPartialHomeomorph.unitBallBall.congr_simp

∀ {E : Type u_1} [inst : SeminormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {P : Type u_2}
  [inst_2 : PseudoMetricSpace P] [inst_3 : NormedAddTorsor E P] (c c_1 : P),
  c = c_1 →
    ∀ (r r_1 : ℝ) (e_r : r = r_1) (hr : 0 < r),
      OpenPartialHomeomorph.unitBallBall c r hr = OpenPartialHomeomorph.unitBallBall c_1 r_1 ⋯

Defined in

Mathlib.Analysis.Normed.Module.Ball.Homeomorph

Cited by

0 results in Mathlib

Foundations

Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SeminormedAddCommGroupNormedSpacePseudoMetricSpaceNormedAddTorsor