Theorems · Theorem · complex analysis
UpperHalfPlane.coe_mem_integerComplement
∀ (z : UpperHalfPlane), ↑z ∈ Complex.integerComplement
- Defined in
- Mathlib.Analysis.Complex.IntegerCompl
- Cited by
- 3 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.
- Setstatement · cited by 53,352
- Complexstatement · cited by 5,565
- UpperHalfPlanestatement and proof · cited by 626
- UpperHalfPlane.coestatement and proof · cited by 288
- Complex.integerComplementstatement · cited by 30
- UpperHalfPlane.ne_intCastproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Complex.upperHalfPlane_inter_integerComplementproof · cited by 1
- eqOn_iteratedDerivWithin_cotTerm_upperHalfPlaneSetproof · cited by 1
- iteratedDerivWithin_cot_sub_inv_eq_add_mul_tsumproof · cited by 1