Theorems · Theorem · order theory
Complex.lt_def
∀ {z w : ℂ}, z < w ↔ z.re < w.re ∧ z.im = w.im- Defined in
- Mathlib.Analysis.Complex.Order
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 109 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
- Complex.restatement · cited by 882
- Complex.imstatement · cited by 591
- Complex.partialOrderstatement · cited by 64
Cited by3
Results whose statement or proof uses this declaration.
- Complex.pos_iffproof · cited by 2
- Complex.not_lt_iffproof · cited by 1
- Complex.neg_iffproof · cited by 0