Theorems · Theorem · real analysis
Real.arctan_lt_pi_div_two
∀ (x : ℝ), Real.arctan x < Real.pi / 2
- Cited by
- 3 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.
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.arctanstatement · cited by 111
- Real.arctan_mem_Iooproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- Real.arctan_inv_of_posproof · cited by 3
- Real.arctan_add_arctan_lt_pi_div_twoproof · cited by 1
- Complex.ofReal_arctanproof · cited by 0