Theorems · Theorem · real analysis
Real.cos_sub_pi_div_two
∀ (x : ℝ), Real.cos (x - Real.pi / 2) = Real.sin x
- Cited by
- 3 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
- mul_oneproof · cited by 3,885
- zero_addproof · cited by 2,366
- MulZeroClass.mul_zeroproof · cited by 2,091
- Real.pistatement and proof · cited by 1,774
- sub_eq_add_negproof · cited by 1,023
- neg_negproof · cited by 960
- mul_negproof · cited by 590
- 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 by3
Results whose statement or proof uses this declaration.
- Real.cos_pi_div_two_subproof · cited by 8
- niven_sinproof · cited by 0
- Real.Angle.cos_sub_pi_div_twoproof · cited by 0