UpperHalfPlane.cosh_dist
∀ (z w : UpperHalfPlane), Real.cosh (dist z w) = 1 + dist ↑z ↑w ^ 2 / (2 * z.im * w.im)
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
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_assocproof · cited by 1,667
- Dist.diststatement and proof · cited by 1,539
- le_of_ltproof · cited by 1,175
- add_assocproof · cited by 746
- ne_of_gtproof · cited by 637
- UpperHalfPlanestatement and proof · cited by 626
- Real.sqrtproof · cited by 545
- mul_posproof · cited by 374
- UpperHalfPlane.coestatement and proof · cited by 288
- sqproof · cited by 280
Cited by1
Results whose statement or proof uses this declaration.
- UpperHalfPlane.cosh_dist'proof · cited by 1