Theorems · Theorem · complex analysis
Complex.neg_pi_lt_arg
∀ (x : ℂ), -Real.pi < x.arg
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Real.pistatement · cited by 1,774
- Complex.argstatement · cited by 220
- Complex.arg_mem_Iocproof · cited by 6
Cited by7
Results whose statement or proof uses this declaration.
- Circle.exp_argproof · cited by 6
- Complex.cpow_inv_two_reproof · cited by 6
- Complex.arg_nonneg_iffproof · cited by 4
- Complex.arg_of_im_negproof · cited by 3
- Complex.abs_arg_le_piproof · cited by 3
- Complex.continuousAt_cpow_zero_of_re_posproof · cited by 2
- Complex.cpow_inv_two_im_eq_neg_sqrtproof · cited by 2