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analysis.normed_space.int

The integers as normed ring #

This file contains basic facts about the integers as normed ring.

Recall that ‖n‖ denotes the norm of n as real number. This norm is always nonnegative, so we can bundle the norm together with this fact, to obtain a term of type nnreal (the nonnegative real numbers). The resulting nonnegative real number is denoted by ‖n‖₊.

theorem int.norm_coe_units (e : ˣ) :
@[simp]
theorem int.nnnorm_coe_nat (n : ) :
@[simp]
theorem int.norm_coe_nat (n : ) :