Theorems · Theorem · real analysis
Real.tan_nonpos_of_nonpos_of_neg_pi_div_two_le
∀ {x : ℝ}, x ≤ 0 → -(Real.pi / 2) ≤ x → Real.tan x ≤ 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Nat.cast_zeroproof · cited by 1,870
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- le_of_not_gtproof · cited by 430
- Real.tanstatement · cited by 100
- neg_nonnegproof · cited by 60
- Real.tan_negproof · cited by 5
- Real.tan_nonneg_of_nonneg_of_le_pi_div_twoproof · cited by 2
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