Theorems · Theorem · real analysis
Real.arctan_one
Real.arctan 1 = Real.pi / 4
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 205 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 and proof · cited by 25,697
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Real.pistatement and proof · cited by 1,774
- lt_of_not_geproof · cited by 374
- Real.pi_posproof · cited by 173
- Real.arctanstatement · cited by 111
- Real.arctan_eq_of_tan_eqproof · cited by 2
- Real.tan_pi_div_fourproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- Real.tendsto_sum_pi_div_fourproof · cited by 0
- Real.arctan_eq_pi_div_fourproof · cited by 0
- Real.four_mul_arctan_inv_5_sub_arctan_inv_239proof · cited by 0
- Real.arctan_inv_2_add_arctan_inv_3proof · cited by 0
- Real.two_mul_arctan_inv_2_sub_arctan_inv_7proof · cited by 0
- Real.two_mul_arctan_inv_3_add_arctan_inv_7proof · cited by 0
- Real.arctan_eq_neg_pi_div_fourproof · cited by 0