Step
*
of Lemma
full-omega-unsat
∀[fmla:int_formula()]. ¬satisfiable_int_formula(fmla) supposing inr Ax ≤ full-omega(fmla)
BY
{ (Auto THEN (D 0 THENA Auto) THEN (InstLemma `satisfiable-full-omega-tt` [⌜fmla⌝]⋅ THENA Auto)) }
1
1. fmla : int_formula()
2. inr Ax ≤ full-omega(fmla)
3. satisfiable_int_formula(fmla)
4. ↑isl(full-omega(fmla))
⊢ False
Latex:
Latex:
\mforall{}[fmla:int\_formula()]. \mneg{}satisfiable\_int\_formula(fmla) supposing inr Ax \mleq{} full-omega(fmla)
By
Latex:
(Auto THEN (D 0 THENA Auto) THEN (InstLemma `satisfiable-full-omega-tt` [\mkleeneopen{}fmla\mkleeneclose{}]\mcdot{} THENA Auto))
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