UpperHalfPlane.cosh_half_dist
∀ (z w : UpperHalfPlane), Real.cosh (dist z w / 2) = dist (↑z) ((starRingEnd ℂ) ↑w) / (2 * √(z.im * w.im))
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites35
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHomstatement · cited by 10,189
- Complexstatement and proof · cited by 5,565
- Dist.diststatement and proof · cited by 1,539
- le_of_ltproof · cited by 1,175
- Complex.reproof · cited by 882
- starRingEndstatement and proof · cited by 671
- ne_of_gtproof · cited by 637
- UpperHalfPlanestatement and proof · cited by 626
- Real.sqrtstatement and proof · cited by 545
- mul_posproof · cited by 374
Cited by3
Results whose statement or proof uses this declaration.
- UpperHalfPlane.sinh_half_dist_add_distproof · cited by 1
- UpperHalfPlane.exp_half_distproof · cited by 0
- UpperHalfPlane.tanh_half_distproof · cited by 0