UpperHalfPlane.im_le_im_mul_exp_dist
∀ (z w : UpperHalfPlane), z.im ≤ w.im * Real.exp (dist z w)
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 218 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- LE.le.transproof · cited by 3,151
- Dist.diststatement and proof · cited by 1,539
- Real.logproof · cited by 939
- Real.expstatement and proof · cited by 871
- UpperHalfPlanestatement and proof · cited by 626
- UpperHalfPlane.imstatement and proof · cited by 128
- le_abs_selfproof · cited by 113
- UpperHalfPlane.im_posproof · cited by 62
- Real.exp_logproof · cited by 58
- div_le_iff₀'proof · cited by 28
- Real.exp_le_expproof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- UpperHalfPlane.im_div_exp_dist_leproof · cited by 0