Theorems · Theorem · real analysis
Real.sin_pi_div_two_sub
∀ (x : ℝ), Real.sin (Real.pi / 2 - x) = Real.cos x
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- Real.pistatement and proof · cited by 1,774
- MulZeroClass.zero_mulproof · cited by 1,625
- sub_eq_add_negproof · cited by 1,023
- mul_negproof · cited by 590
- neg_zeroproof · cited by 542
- Real.cosstatement and proof · cited by 424
- Real.sinstatement and proof · cited by 389
- Real.sin_negproof · cited by 34
- Real.sin_pi_div_twoproof · cited by 29
Cited by6
Results whose statement or proof uses this declaration.
- Real.cos_lt_cos_of_nonneg_of_le_piproof · cited by 6
- Real.arccos_cosproof · cited by 4
- Real.tan_pi_div_two_subproof · cited by 4
- Real.sin_arccosproof · cited by 2
- Real.one_sub_mul_le_cosproof · cited by 1
- Real.Angle.sin_pi_div_two_subproof · cited by 0