Step
*
1
of Lemma
chrem_exists_aux_a
1. r : ℕ+
2. s : {s':ℕ+| CoPrime(r,s')}
⊢ ∃x:ℤ [((x ≡ 1 mod r) ∧ (x ≡ 0 mod s))]
BY
{ ((D 2 THEN UnhideSqStableHyp 3) THEN Auto) }
1
1. r : ℕ+
2. s : ℕ+
3. CoPrime(r,s)
⊢ ∃x:ℤ [((x ≡ 1 mod r) ∧ (x ≡ 0 mod s))]
Latex:
Latex:
1. r : \mBbbN{}\msupplus{}
2. s : \{s':\mBbbN{}\msupplus{}| CoPrime(r,s')\}
\mvdash{} \mexists{}x:\mBbbZ{} [((x \mequiv{} 1 mod r) \mwedge{} (x \mequiv{} 0 mod s))]
By
Latex:
((D 2 THEN UnhideSqStableHyp 3) THEN Auto)
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