Theorems · Theorem · real analysis
Real.toNNReal_ofNat
∀ (n : ℕ) [inst : n.AtLeastTwo], (OfNat.ofNat n).toNNReal = OfNat.ofNat n
- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nat.AtLeastTwo
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
- Nat.AtLeastTwostatement and proof · cited by 405
- Real.toNNRealstatement · cited by 267
- Real.toNNReal_natCastproof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasisproof · cited by 4
- Unitization.lipschitzWith_addEquivproof · cited by 2
- Real.nnabs_ofNatproof · cited by 0