Theorems · Theorem · special functions
Real.arcsin_le_pi_div_two
∀ (x : ℝ), Real.arcsin x ≤ Real.pi / 2
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 188 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Real.pistatement · cited by 1,774
- Real.arcsinstatement · cited by 125
- Real.arcsin_mem_Iccproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- Real.arcsin_negproof · cited by 11
- Complex.arg_le_pi_div_two_iffproof · cited by 4
- Real.arccos_nonnegproof · cited by 3
- Real.cos_arcsin_nonnegproof · cited by 1
- Real.arccos_eq_arctanproof · cited by 0
- Real.arcsin_eq_arccosproof · cited by 0
- Real.pi_div_two_le_arcsinproof · cited by 0