Theorems · Theorem · complex analysis
Complex.re_neg_ne_zero_of_re_pos
∀ {s : ℂ}, 0 < s.re → (-s).re ≠ 0- Defined in
- Mathlib.Analysis.Complex.Norm
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Complex.restatement and proof · cited by 882
- neg_lt_zeroproof · cited by 36
- Complex.neg_reproof · cited by 16
- ne_iff_lt_or_gtproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Complex.re_neg_ne_zero_of_one_lt_reproof · cited by 2