Theorems · Theorem · complex analysis
Complex.div_cpow_ofReal_nonneg
∀ {a b : ℝ}, 0 ≤ a → 0 ≤ b → ∀ (r : ℂ), (↑a / ↑b) ^ r = ↑a ^ r / ↑b ^ r- Cited by
- 0 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- div_eq_mul_invproof · cited by 715
- Complex.ofReal_invproof · cited by 62
- inv_nonneg_of_nonnegproof · cited by 24
- Complex.mul_cpow_ofReal_nonnegproof · cited by 12
- Complex.inv_cpow_ofReal_nonnegproof · cited by 1
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