Theorems · Theorem · special functions
Real.arcsin_one
Real.arcsin 1 = Real.pi / 2
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 189 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- LT.lt.leproof · cited by 2,189
- Real.pistatement · cited by 1,774
- Real.arcsinstatement · cited by 125
- Set.right_mem_Iccproof · cited by 60
- Real.sin_pi_div_twoproof · cited by 29
- Real.pi_div_two_posproof · cited by 22
- neg_le_selfproof · cited by 8
- Real.arcsin_eq_of_sin_eqproof · cited by 6
Cited by6
Results whose statement or proof uses this declaration.
- Real.arcsin_of_one_leproof · cited by 7
- Real.arccos_oneproof · cited by 3
- Real.differentiableWithinAt_arcsin_Iciproof · cited by 2
- Real.arccos_neg_oneproof · cited by 2
- Complex.arg_neg_Iproof · cited by 2
- Complex.arg_Iproof · cited by 2