Theorems · Theorem · complex analysis
isConformalMap_complex_linear_conj
∀ {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 ∘SL ↑Complex.conjCLE)- Defined in
- Mathlib.Analysis.Complex.Conformal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- ContinuousLinearMapstatement and proof · cited by 5,352
- ContinuousLinearMap.compstatement · cited by 709
- ContinuousLinearEquiv.toContinuousLinearMapstatement · cited by 448
- ContinuousLinearMap.restrictScalarsstatement · cited by 61
- IsConformalMapstatement · cited by 21
- Complex.conjCLEstatement · cited by 15
- isConformalMap_complex_linearproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- isConformalMap_iff_is_complex_or_conj_linearproof · cited by 1