# mathlibdocumentation

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∥₊.

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