Theorems · Theorem · special functions
Real.arccos_eq_arcsin
∀ {x : ℝ}, 0 ≤ x → Real.arccos x = Real.arcsin √(1 - x ^ 2)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- LE.le.transproof · cited by 3,151
- LT.lt.leproof · cited by 2,189
- Real.sqrtstatement · cited by 545
- Real.pi_posproof · cited by 173
- Real.arcsinstatement · cited by 125
- div_nonnegproof · cited by 103
- Real.arccosstatement · cited by 90
- Left.neg_nonpos_iffproof · cited by 14
- Real.arcsin_eq_of_sin_eqproof · cited by 6
- Real.arccos_nonnegproof · cited by 3
- Real.sin_arccosproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- InnerProductGeometry.angle_add_eq_arcsin_of_inner_eq_zeroproof · cited by 5
- Real.arctan_eq_arccosproof · cited by 0