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Step * 1 1 1 1 of Lemma mFOL-proveable-formula-evidence

.....antecedent..... 
1. [fmla] : mFOL()
2. mFOL-proveable(<[], fmla>)
3. [Dom] : Type
4. [S] : FOStruct(Dom)
5. a : FOAssignment(mFOL-freevars(fmla),Dom)
6. ⋂S:FOStruct(Dom). ∀a:FOAssignment(mFOL-sequent-freevars(<[], fmla>),Dom). Dom,S,a |= mFOL-sequent-abstract(<[], fmla>\000C)
⊢ tuple-type(mFOL-hyps-meaning(Dom;S;a;[]))
BY
{ xxx(UseWitness ⌜⋅⌝⋅ THEN Auto)xxx }

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Latex:

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Latex:
.....antecedent..... 
1.  [fmla]  :  mFOL()
2.  mFOL-proveable(<[],  fmla>)
3.  [Dom]  :  Type
4.  [S]  :  FOStruct(Dom)
5.  a  :  FOAssignment(mFOL-freevars(fmla),Dom)
6.  \mcap{}S:FOStruct(Dom).  \mforall{}a:FOAssignment(mFOL-sequent-freevars(<[],  fmla>),Dom).  Dom,S,a  |=  mFOL-sequent\000C-abstract(<[],  fmla>)
\mvdash{}  tuple-type(mFOL-hyps-meaning(Dom;S;a;[]))


By

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Latex:
xxx(UseWitness  \mkleeneopen{}\mcdot{}\mkleeneclose{}\mcdot{}  THEN  Auto)xxx

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