Theorems · Definition · complex analysis
Complex.integerComplement
Set ℂ
The complement of the integers in ℂ
- Defined in
- Mathlib.Analysis.Complex.IntegerCompl
- Cited by
- 30 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Set.rangeproof · cited by 4,705
- Compl.complproof · cited by 2,925
Cited by30
Results whose statement or proof uses this declaration.
- Complex.integerComplement.ne_zerostatement and proof · cited by 4
- sin_pi_mul_ne_zerostatement and proof · cited by 3
- UpperHalfPlane.coe_mem_integerComplementstatement · cited by 3
- Complex.add_intCast_mem_integerComplementstatement · cited by 2
- Complex.integerComplement_add_ne_zerostatement and proof · cited by 2
- Complex.integerComplement_pow_two_ne_pow_twostatement and proof · cited by 2
- summable_cotTermstatement and proof · cited by 2
- cot_series_rep'statement and proof · cited by 2
- HasProdUniformlyOn_sineTerm_prod_on_compactstatement and proof · cited by 1
- sineTerm_ne_zerostatement and proof · cited by 1
- Complex.mem_integerComplement_iffstatement · cited by 1
- HasProdLocallyUniformlyOn_euler_sin_prodstatement · cited by 1