Theorems · Theorem · functional analysis

IsConformalMap.ne_zero

∀ {R : Type u_1} {N : Type u_3} {M' : Type u_5} [inst : NormedField R] [inst_1 : SeminormedAddCommGroup N]
  [inst_2 : NormedSpace R N] [inst_3 : NormedAddCommGroup M'] [inst_4 : NormedSpace R M'] [Nontrivial M']
  {f' : M' →L[R] N}, IsConformalMap f' → f' ≠ 0

Defined in

Mathlib.Analysis.Normed.Operator.Conformal

Cited by

2 results in Mathlib

Foundations

Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldSeminormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpaceNontrivial