Theorems · Theorem · complex analysis
Complex.upperHalfPlane_inter_integerComplement
{z | 0 < z.im} ∩ Complex.integerComplement = {z | 0 < z.im}- Defined in
- Mathlib.Analysis.Complex.IntegerCompl
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 107 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.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Set.ofPredstatement and proof · cited by 6,101
- Complexstatement and proof · cited by 5,565
- Complex.imstatement and proof · cited by 591
- Set.inter_eq_self_of_subset_leftproof · cited by 52
- Complex.integerComplementstatement · cited by 30
- UpperHalfPlane.coe_mem_integerComplementproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- eqOn_iteratedDerivWithin_cotTerm_upperHalfPlaneSetproof · cited by 1