Theorems · Theorem · real analysis
Real.rpow_def
∀ (x y : ℝ), x ^ y = (↑x ^ ↑y).re
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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 · cited by 5,565
- Complex.ofRealstatement · cited by 1,654
- Complex.restatement · cited by 882
Cited by2
Results whose statement or proof uses this declaration.
- Real.rpow_def_of_negproof · cited by 7
- Real.rpow_add_intCastproof · cited by 3