Theorems · Theorem · order theory
Complex.not_lt_iff
∀ {z w : ℂ}, ¬z < w ↔ w.re ≤ z.re ∨ z.im ≠ w.im- Defined in
- Mathlib.Analysis.Complex.Order
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Complex.imstatement and proof · cited by 591
- not_ltproof · cited by 306
- not_and_orproof · cited by 82
- Complex.partialOrderstatement · cited by 64
- Complex.lt_defproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Complex.not_lt_zero_iffproof · cited by 1