Theorems · Theorem · real analysis
Real.sin_sq_lt_sq
∀ {x : ℝ}, x ≠ 0 → Real.sin x ^ 2 < x ^ 2- Cited by
- 3 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.
Cites21
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
- LT.lt.leproof · cited by 2,189
- Nat.cast_zeroproof · cited by 1,870
- Real.piproof · cited by 1,774
- LE.le.trans_ltproof · cited by 795
- le_of_not_gtproof · cited by 430
- Real.sinstatement and proof · cited by 389
- le_or_gtproof · cited by 269
- neg_neg_of_posproof · cited by 227
- Even.neg_powproof · cited by 99
- neg_ne_zeroproof · cited by 70
Cited by3
Results whose statement or proof uses this declaration.
- Real.one_sub_sq_div_two_lt_cosproof · cited by 1
- Real.sin_sq_le_sqproof · cited by 1
- Real.abs_sin_lt_absproof · cited by 0