Step * of Lemma implies-equal-div2

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[a,c:ℤ]. ∀[b:ℤ-o].  (a ÷ b) c ∈ ℤ supposing (b c) ∈ ℤ
BY
(Auto THEN (InstLemma `implies-equal-div` [⌜a⌝;⌜c⌝;⌜b⌝;⌜1⌝]⋅ THEN Auto) THEN RWO "-1" THEN Auto) }


Latex:


Latex:
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\mforall{}[a,c:\mBbbZ{}].  \mforall{}[b:\mBbbZ{}\msupminus{}\msupzero{}].    (a  \mdiv{}  b)  =  c  supposing  a  =  (b  *  c)


By


Latex:
(Auto  THEN  (InstLemma  `implies-equal-div`  [\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}1\mkleeneclose{}]\mcdot{}  THEN  Auto)  THEN  RWO  "-1"  0  THEN  Auto)




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