Theorems · Theorem · special functions
Real.arcsin_zero
Real.arcsin 0 = 0
- Cited by
- 9 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.
Cites7
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.arcsinstatement · cited by 125
- Real.sin_zeroproof · cited by 32
- neg_nonposproof · cited by 31
- Real.pi_div_two_posproof · cited by 22
- Real.arcsin_eq_of_sin_eqproof · cited by 6
Cited by9
Results whose statement or proof uses this declaration.
- Complex.arg_zeroproof · cited by 22
- Real.arctan_zeroproof · cited by 17
- Complex.arg_ofReal_of_nonnegproof · cited by 16
- Complex.arg_oneproof · cited by 5
- Real.arccos_zeroproof · cited by 3
- Complex.arg_neg_oneproof · cited by 3
- Complex.arg_conjproof · cited by 3
- Complex.tendsto_arg_nhdsWithin_im_neg_of_re_neg_of_im_zeroproof · cited by 1
- deriv_riemannZeta_zeroproof · cited by 0