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Theorems · Theorem · functional analysis

RCLike.nnnorm_natCast

∀ {K : Type u_1} [inst : RCLike K] (n : ℕ), ‖↑n‖₊ = ↑n
Defined in
Mathlib.Analysis.RCLike.Basic
Cited by
2 results in Mathlib
Foundations
Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RCLike
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

RCLike.nnnorm_ofNat · cited by 1RCLike.nnnorm_ofNatRCLike.nnnorm_nsmul · cited by 0RCLike.nnnorm_nsmulNorm.norm · cited by 5413Norm.normNNReal · cited by 4310NNRealRCLike · cited by 2829RCLikeNNNorm.nnnorm · cited by 952NNNorm.nnnormnorm_nonneg · cited by 725norm_nonnegNNReal.mk.congr_simp · cited by 33mk.congr_simpRCLike.norm_natCast · cited by 19RCLike.norm_natCastNNReal.mk_natCast · cited by 2NNReal.mk_natCastRCLike.nnnorm_natCastCITED BYCITES

Cites8

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

Cited by2

Results whose statement or proof uses this declaration.