Step
*
of Lemma
modulus_functionality_wrt_eqmod
∀[m:ℕ+]. ∀[x,y:ℤ]. (x mod m) = (y mod m) ∈ ℤ supposing x ≡ y mod m
BY
{ (Auto THEN BLemma `modulus-equal-iff-eqmod` THEN Auto) }
Latex:
Latex:
\mforall{}[m:\mBbbN{}\msupplus{}]. \mforall{}[x,y:\mBbbZ{}]. (x mod m) = (y mod m) supposing x \mequiv{} y mod m
By
Latex:
(Auto THEN BLemma `modulus-equal-iff-eqmod` THEN Auto)
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