Theorems · Theorem · real analysis
Real.tan_lt_tan_of_lt_of_lt_pi_div_two
∀ {x y : ℝ}, -(Real.pi / 2) < x → y < Real.pi / 2 → x < y → Real.tan x < Real.tan y- Cited by
- 1 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Real.pistatement and proof · cited by 1,774
- LT.lt.transproof · cited by 370
- Real.tanstatement · cited by 100
- Real.strictMonoOn_tanproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Real.tan_lt_tan_of_nonneg_of_lt_pi_div_twoproof · cited by 0