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Theorems · Theorem · differential geometry

conformalAt_const_smul

∀ {X : Type u_1} [inst : NormedAddCommGroup X] [inst_1 : NormedSpace ℝ X] {c : ℝ},
  c ≠ 0 → ∀ (x : X), ConformalAt (fun x' => c • x') x
Defined in
Mathlib.Analysis.Calculus.Conformal.NormedSpace
Cited by
2 results in Mathlib
Foundations
Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedAddCommGroupNormedSpace
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Around this declaration

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

ConformalAt.const_smul · cited by 1ConformalAt.const_smulconformal_const_smul · cited by 0conformal_const_smulReal · cited by 25697RealNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceContinuousLinearMap.id · cited by 233ContinuousLinearMap.idhasFDerivAt_id · cited by 18hasFDerivAt_idConformalAt · cited by 17ConformalAtHasFDerivAt.const_smul · cited by 9HasFDerivAt.const_smulisConformalMap_const_smul · cited by 1isConformalMap_const_smulconformalAt_const_smulCITED BYCITES

Cites8

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Cited by2

Results whose statement or proof uses this declaration.