Theorems · Theorem · real analysis
NNReal.rpow_inv_rpow_self
∀ {y : ℝ}, y ≠ 0 → ∀ (x : NNReal), (x ^ y) ^ (1 / y) = x- Cited by
- 3 results in Mathlib
- Foundations
- Depth 199 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
- NNRealstatement and proof · cited by 4,310
- one_mulproof · cited by 2,841
- one_ne_zeroproof · cited by 885
- div_oneproof · cited by 629
- NNReal.rpow_oneproof · cited by 38
- NNReal.rpow_mulproof · cited by 18
Cited by3
Results whose statement or proof uses this declaration.
- NNReal.rpow_left_injectiveproof · cited by 2
- NNReal.inner_le_Lp_mul_Lq_hasSumproof · cited by 1
- NNReal.Lp_add_le_hasSumproof · cited by 1