Theorems · Theorem · complex analysis
Complex.inv_cpow_ofReal_nonneg
∀ {a : ℝ}, 0 ≤ a → ∀ (r : ℂ), (↑a)⁻¹ ^ r = (↑a ^ r)⁻¹- Cited by
- 1 results in Mathlib
- Foundations
- Depth 204 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
- Real.piproof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- Real.pi_ne_zeroproof · cited by 24
- Complex.arg_ofReal_of_nonnegproof · cited by 16
- Complex.inv_cpowproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Complex.div_cpow_ofReal_nonnegproof · cited by 0