Mathlib Map

Theorems · Theorem · real analysis

Real.toNNReal_natCast

∀ (n : ℕ), (↑n).toNNReal = ↑n
Defined in
Mathlib.Data.NNReal.Defs
Cited by
7 results in Mathlib
Foundations
Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ENNReal.ofReal_natCast · cited by 14ENNReal.ofReal_natCastReal.toNNReal_ofNat · cited by 4Real.toNNReal_ofNatReal.toNNReal_le_natCast · cited by 3Real.toNNReal_le_natCastReal.toNNReal_coe_nat · cited by 0Real.toNNReal_coe_natReal.toNNReal_lt_natCast' · cited by 0Real.toNNReal_lt_natCast'Real.nnabs_natCast · cited by 0Real.nnabs_natCastReal.natCastle_toNNReal' · cited by 0Real.natCastle_toNNReal'Real · cited by 25697RealNNReal · cited by 4310NNRealReal.toNNReal · cited by 267Real.toNNRealNNReal.eq · cited by 201NNReal.eqNNReal.coe_natCast · cited by 34NNReal.coe_natCastReal.coe_toNNReal · cited by 27Real.coe_toNNRealReal.toNNReal_natCastCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by7

Results whose statement or proof uses this declaration.