Theorems · Theorem · several complex variables
UpperHalfPlane.deriv_smul_ne_zero
∀ {g : GL (Fin 2) ℝ}, 0 < (↑g).det → ∀ (τ : UpperHalfPlane), deriv (fun z => ↑(g • ↑UpperHalfPlane.ofComplex z)) ↑τ ≠ 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 188 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Complexstatement and proof · cited by 5,565
- Matrixstatement · cited by 4,303
- Units.valstatement and proof · cited by 1,966
- Nat.cast_zeroproof · cited by 1,870
- Complex.ofRealproof · cited by 1,654
- LT.lt.ne'proof · cited by 1,417
- OpenPartialHomeomorph.toFun'statement · cited by 745
- derivstatement · cited by 676
- Matrix.detstatement and proof · cited by 665
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
Cited by1
Results whose statement or proof uses this declaration.
- UpperHalfPlane.meromorphicOrderAt_comp_smulproof · cited by 0