Theorems · Theorem · real analysis
NNReal.rpow_one
∀ (x : NNReal), x ^ 1 = x
- Cited by
- 38 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- NNRealstatement and proof · cited by 4,310
- NNReal.toRealproof · cited by 1,260
- NNReal.eqproof · cited by 201
- Real.rpow_oneproof · cited by 114
Cited by38
Results whose statement or proof uses this declaration.
- ENNReal.rpow_oneproof · cited by 56
- CFC.nnrpow_oneproof · cited by 6
- NNReal.rpow_self_rpow_invproof · cited by 5
- NNReal.inner_le_Lp_mul_Lqproof · cited by 5
- PiLp.nnnorm_singleproof · cited by 4
- PiLp.nnnorm_toLp_constproof · cited by 4
- NNReal.rpow_inv_rpow_selfproof · cited by 3
- CFC.rpow_oneproof · cited by 3
- NNReal.summable_and_inner_le_Lp_mul_Lq_tsumproof · cited by 3
- NNReal.Lp_add_leproof · cited by 3
- volume_iUnion_setOfPred_liouvilleWithproof · cited by 2
- HolderOnWith.interpolate_constproof · cited by 2