Theorems · Theorem · complex analysis
Complex.integerComplement.ne_zero
∀ {x : ℂ}, x ∈ Complex.integerComplement → x ≠ 0- Defined in
- Mathlib.Analysis.Complex.IntegerCompl
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 100 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.
- Setstatement · cited by 53,352
- Complexstatement and proof · cited by 5,565
- Nat.cast_zeroproof · cited by 1,870
- Int.cast_zeroproof · cited by 188
- Complex.integerComplementstatement and proof · cited by 30
Cited by4
Results whose statement or proof uses this declaration.
- Complex.integerComplement_add_ne_zeroproof · cited by 2
- euler_sineTerm_tprodproof · cited by 1
- tendsto_logDeriv_euler_sin_divproof · cited by 1
- logDeriv_sin_div_eq_cotproof · cited by 1