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coprime_Zp_unit

File dumas2017dual/lib/extra_algebra.v

Section Zp_unit_extra

Type Lemma

Proof Lines 6

Signature

Lemma coprime_Zp_unit (m : nat) (x : 'Z_m) : (1 < m)%N -> coprime x m -> x \is a GRing.unit.

Description

Key lemma from MathComp: unitZpE (x%:R : 'Z_m) \is a GRing.unit = coprime m x (when 1 < m) For x : 'Z_m, we have x = (nat_of_ord x)%:R, so we can apply unitZpE directly.

Uses (0)

This lemma does not use any other lemmas from the stats.

Used By (0)

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