Theorems · Theorem · field theory
Complex.mul_inv_cancel
∀ {z : ℂ}, z ≠ 0 → z * z⁻¹ = 1- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realproof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- mul_assocproof · cited by 1,667
- Complex.ofRealproof · cited by 1,654
- starRingEndproof · cited by 671
- mul_inv_cancel₀proof · cited by 210
- Complex.ofReal_mulproof · cited by 180
- Complex.normSqproof · cited by 103
- Complex.ofReal_oneproof · cited by 43
- Complex.inv_defproof · cited by 6
- Complex.normSq_eq_zeroproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.