UpperHalfPlane.tanh_half_dist
∀ (z w : UpperHalfPlane), Real.tanh (dist z w / 2) = dist ↑z ↑w / dist (↑z) ((starRingEnd ℂ) ↑w)
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- 0 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites22
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
- starRingEndstatement and proof · cited by 671
- ne_of_gtproof · cited by 637
- div_oneproof · cited by 629
- UpperHalfPlanestatement and proof · cited by 626
- Real.sqrtproof · cited by 545
- mul_posproof · cited by 374
- UpperHalfPlane.coestatement and proof · cited by 288
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