Theorems · Theorem · real analysis
Real.arctan_ne_mul_pi_div_two
∀ {x : ℝ} (k : ℤ), Real.arctan x ≠ (2 * ↑k + 1) * Real.pi / 2- Cited by
- 1 results in Mathlib
- Foundations
- Depth 204 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
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- Real.pistatement and proof · cited by 1,774
- Int.cast_oneproof · cited by 371
- div_posproof · cited by 337
- Real.pi_posproof · cited by 173
- mul_div_assocproof · cited by 149
- Real.arctanstatement and proof · cited by 111
- Int.cast_ofNatproof · cited by 86
- neg_eq_neg_one_mulproof · cited by 21
- mul_lt_mul_iff_left₀proof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- Real.arctan_addproof · cited by 6