Theorems · Theorem · real analysis
Complex.cpow_mul_ofReal_nonneg
∀ {x : ℝ}, 0 ≤ x → ∀ (y : ℝ) (z : ℂ), ↑x ^ (↑y * z) = ↑(x ^ y) ^ z- Cited by
- 2 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.
Cites14
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
- LT.lt.leproof · cited by 2,189
- Real.piproof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- Real.logproof · cited by 939
- Complex.improof · cited by 591
- Complex.ofReal_mulproof · cited by 180
- Real.pi_posproof · cited by 173
- Complex.ofReal_cpowproof · cited by 36
- neg_lt_zeroproof · cited by 36
- Complex.ofReal_improof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- mellin_comp_rpowproof · cited by 1
- MellinConvergent.comp_rpowproof · cited by 0