Theorems · Theorem · functional analysis
Real.nnnorm_natCast
∀ (n : ℕ), ‖↑n‖₊ = ↑n
- Defined in
- Mathlib.Analysis.Normed.Group.Real
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 155 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 · cited by 4,310
- NNNorm.nnnormstatement · cited by 952
- NNReal.eqproof · cited by 201
- Real.norm_natCastproof · cited by 6
Cited by6
Results whose statement or proof uses this declaration.
- Real.enorm_natCastproof · cited by 3
- MeasureTheory.lpNorm_nsmulproof · cited by 2
- Real.nnnorm_ofNatproof · cited by 1
- MemHolder.nnHolderNorm_nsmulproof · cited by 0
- Int.nnnorm_natCastproof · cited by 0
- eHolderNorm_nsmulproof · cited by 0