Theorems · Theorem · complex analysis
Complex.cpow_neg_one
∀ (x : ℂ), x ^ (-1) = x⁻¹
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- Complex.cpow_oneproof · cited by 20
- Complex.cpow_negproof · cited by 17
Cited by7
Results whose statement or proof uses this declaration.
- DirichletCharacter.LFunctionTrivChar_residue_oneproof · cited by 2
- Complex.inv_Gammaℝ_two_subproof · cited by 2
- Complex.Gammaℝ_add_twoproof · cited by 1
- Complex.Gammaℂ_add_oneproof · cited by 1
- Complex.Gammaℂ_oneproof · cited by 1
- Complex.hasDerivAt_Gammaℂ_oneproof · cited by 0
- ZMod.LFunction_residue_oneproof · cited by 0