Theorems · Theorem · field theory
Complex.div_ofReal
∀ (z : ℂ) (x : ℝ), z / ↑x = { re := z.re / x, im := z.im / x }- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 and proof · cited by 5,565
- Complex.ofRealstatement and proof · cited by 1,654
- Complex.restatement and proof · cited by 882
- Complex.imstatement and proof · cited by 591
- div_eq_inv_mulproof · cited by 146
- Complex.ofReal_mul'proof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Complex.div_ofReal_reproof · cited by 8
- Complex.div_ofReal_improof · cited by 7
- Complex.div_natCastproof · cited by 3
- Complex.div_intCastproof · cited by 2
- Complex.div_ratCastproof · cited by 2