Theorems · Theorem · order theory
Complex.le_def
∀ {z w : ℂ}, z ≤ w ↔ z.re ≤ w.re ∧ z.im = w.im- Defined in
- Mathlib.Analysis.Complex.Order
- Cited by
- 5 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 by5
Results whose statement or proof uses this declaration.
- Complex.nonneg_iffproof · cited by 3
- Complex.eq_re_of_ofReal_leproof · cited by 2
- Complex.not_le_iffproof · cited by 1
- DifferentiableOn.nonneg_of_iteratedDeriv_nonnegproof · cited by 1
- Complex.nonpos_iffproof · cited by 1