Theorems · Theorem · complex analysis
isConformalMap_complex_linear
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : NormedSpace ℂ E] {map : ℂ →L[ℂ] E},
map ≠ 0 → IsConformalMap (ContinuousLinearMap.restrictScalars ℝ map)- Defined in
- Mathlib.Analysis.Complex.Conformal
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Complexstatement and proof · cited by 5,565
- Norm.normproof · cited by 5,413
- ContinuousLinearMapstatement and proof · cited by 5,352
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- one_ne_zeroproof · cited by 885
- div_oneproof · cited by 629
Cited by3
Results whose statement or proof uses this declaration.
- isConformalMap_iff_is_complex_or_conj_linearproof · cited by 1
- isConformalMap_complex_linear_conjproof · cited by 1
- DifferentiableAt.conformalAtproof · cited by 0