Theorems · Theorem · real analysis
Real.strictMonoOn_tan
StrictMonoOn Real.tan (Set.Ioo (-(Real.pi / 2)) (Real.pi / 2))
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Nat.cast_oneproof · cited by 2,501
- mul_commproof · cited by 2,262
- Nat.cast_zeroproof · cited by 1,870
- Real.pistatement and proof · cited by 1,774
- Set.Ioostatement and proof · cited by 1,214
- Real.cosproof · cited by 424
- Real.sinproof · cited by 389
- lt_of_not_geproof · cited by 374
- StrictMonoOnstatement · cited by 194
- sub_posproof · cited by 147
- Real.tanstatement and proof · cited by 100
Cited by3
Results whose statement or proof uses this declaration.
- Real.tanOrderIsoproof · cited by 10
- Real.injOn_tanproof · cited by 2
- Real.tan_lt_tan_of_lt_of_lt_pi_div_twoproof · cited by 1