Theorems · Theorem · number theory
UpperHalfPlane.linear_ne_zero
∀ {cd : Fin 2 → ℝ} (τ : UpperHalfPlane), cd ≠ 0 → ↑(cd 0) * ↑τ + ↑(cd 1) ≠ 0- Cited by
- 2 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 · cited by 5,565
- Complex.ofRealstatement · cited by 1,654
- UpperHalfPlanestatement and proof · cited by 626
- UpperHalfPlane.coestatement · cited by 288
- UpperHalfPlane.im_ne_zeroproof · cited by 18
- UpperHalfPlane.linear_ne_zero_of_improof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- ModularGroup.smul_eq_lcRow0_addproof · cited by 1
- EisensteinSeries.div_linear_zpow_differentiableOnproof · cited by 1