Theorems · Theorem · field theory
Complex.ofReal_eq_zero
∀ {z : ℝ}, ↑z = 0 ↔ z = 0- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 6 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.
- Realstatement and proof · cited by 25,697
- Complexstatement · cited by 5,565
- Complex.ofRealstatement · cited by 1,654
- Complex.ofReal_injproof · cited by 38
Cited by6
Results whose statement or proof uses this declaration.
- Complex.ofReal_ne_zeroproof · cited by 46
- Real.rpow_def_of_negproof · cited by 7
- HurwitzZeta.oddKernel_undefproof · cited by 1
- HurwitzZeta.sinKernel_undefproof · cited by 1
- mellin_comp_mul_leftproof · cited by 1
- MellinConvergent.comp_mul_leftproof · cited by 0