UpperHalfPlane.dist_self_center
∀ (z : UpperHalfPlane) (r : ℝ), dist ↑z ↑(z.center r) = z.im * (Real.cosh r - 1)
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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
- mul_oneproof · cited by 3,885
- LT.lt.leproof · cited by 2,189
- absproof · cited by 1,814
- Dist.diststatement · cited by 1,539
- UpperHalfPlanestatement and proof · cited by 626
- Complex.improof · cited by 591
- UpperHalfPlane.coestatement and proof · cited by 288
- abs_of_nonnegproof · cited by 279
- mul_subproof · cited by 201
- dist_commproof · cited by 188
Cited by2
Results whose statement or proof uses this declaration.
- UpperHalfPlane.dist_coe_leproof · cited by 0
- UpperHalfPlane.le_dist_coeproof · cited by 0