Theorems · Theorem · real analysis
Real.tan_nonneg_of_nonneg_of_le_pi_div_two
∀ {x : ℝ}, 0 ≤ x → x ≤ Real.pi / 2 → 0 ≤ Real.tan x- Cited by
- 2 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.
Cites11
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
- le_of_ltproof · cited by 1,175
- div_zeroproof · cited by 251
- Real.tanstatement and proof · cited by 100
- lt_or_eq_of_leproof · cited by 29
- Real.sin_pi_div_twoproof · cited by 29
- Real.cos_pi_div_twoproof · cited by 26
- Real.tan_eq_sin_div_cosproof · cited by 15
- Real.tan_zeroproof · cited by 8
- Real.tan_pos_of_pos_of_lt_pi_div_twoproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Real.cos_lt_one_div_sqrt_sq_add_oneproof · cited by 1
- Real.tan_nonpos_of_nonpos_of_neg_pi_div_two_leproof · cited by 0