Theorems · Theorem · real analysis
Real.rpow_add_intCast
∀ {x : ℝ}, x ≠ 0 → ∀ (y : ℝ) (n : ℤ), x ^ (y + ↑n) = x ^ y * x ^ n- Cited by
- 3 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Complexproof · cited by 5,565
- mul_commproof · cited by 2,262
- Complex.ofRealproof · cited by 1,654
- Complex.reproof · cited by 882
- Complex.ofReal_addproof · cited by 94
- Complex.ofReal_ne_zeroproof · cited by 46
- Complex.cpow_addproof · cited by 22
- Complex.re_ofReal_mulproof · cited by 20
- Complex.ofReal_intCastproof · cited by 6
- Complex.cpow_intCastproof · cited by 4
- Complex.ofReal_zpowproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Real.rpow_sub_intCastproof · cited by 2
- Real.rpow_add_natCastproof · cited by 2
- NNReal.rpow_add_intCastproof · cited by 0