Mathlib Map

Theorems · Theorem · differential geometry

ConformalAt.const_smul

∀ {X : Type u_1} {Y : Type u_2} [inst : NormedAddCommGroup X] [inst_1 : NormedAddCommGroup Y] [inst_2 : NormedSpace ℝ X]
  [inst_3 : NormedSpace ℝ Y] {f : X → Y} {x : X} {c : ℝ}, c ≠ 0 → ConformalAt f x → ConformalAt (c • f) x
Defined in
Mathlib.Analysis.Calculus.Conformal.NormedSpace
Cited by
1 results in Mathlib
Foundations
Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedAddCommGroupNormedAddCommGroupNormedSpaceNormedSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Conformal.const_smul · cited by 0Conformal.const_smulReal · cited by 25697RealNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceConformalAt · cited by 17ConformalAtconformalAt_const_smul · cited by 2conformalAt_const_smulConformalAt.comp · cited by 2ConformalAt.compConformalAt.const_smulCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.