Theorems · Theorem · real analysis
NNReal.rpow_self_rpow_inv
∀ {y : ℝ}, y ≠ 0 → ∀ (x : NNReal), (x ^ (1 / y)) ^ y = x- Cited by
- 5 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 by5
Results whose statement or proof uses this declaration.
- NNReal.le_rpow_inv_iffproof · cited by 4
- NNReal.rpow_inv_le_iffproof · cited by 3
- NNReal.Lp_add_le_hasSumproof · cited by 1
- NNReal.eq_rpow_inv_iffproof · cited by 0
- NNReal.rpow_inv_eq_iffproof · cited by 0