Theorems · Theorem · special functions
Real.deriv_arcsin
deriv Real.arcsin = fun x => 1 / √(1 - x ^ 2)
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 213 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
- sub_selfproof · cited by 996
- derivstatement · cited by 676
- Real.sqrtstatement and proof · cited by 545
- one_powproof · cited by 521
- div_zeroproof · cited by 251
- HasDerivAt.derivproof · cited by 147
- Real.arcsinstatement · cited by 125
- Even.neg_powproof · cited by 99
- deriv_zero_of_not_differentiableAtproof · cited by 34
- Real.sqrt_zeroproof · cited by 28
- Real.hasDerivAt_arcsinproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Real.deriv_arccosproof · cited by 0