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Step * of Lemma multiply_nat_plus_iff

∀[i:ℕ+]. ∀[x:ℤ].  (i * x ∈ ℕ ⇐⇒ x ∈ ℕ)
BY
{ Auto }

1
1. i : ℕ+
2. x : ℤ
3. i * x ∈ ℕ
⊢ x ∈ ℕ

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Latex:

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Latex:
\mforall{}[i:\mBbbN{}\msupplus{}].  \mforall{}[x:\mBbbZ{}].    (i  *  x  \mmember{}  \mBbbN{}  \mLeftarrow{}{}\mRightarrow{}  x  \mmember{}  \mBbbN{})


By

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Latex:
Auto

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