Step
*
of Lemma
isr-omega
∀[n:ℕ]. ∀[eqs,ineqs:{L:ℤ List| ||L|| = (n + 1) ∈ ℤ} List]. ¬satisfiable(eqs;ineqs) supposing ↑isr(omega(eqs;ineqs))
BY
{ (Auto
THEN Unfold `omega` -1
THEN (CallByValueReduce (-1) THENA Auto)
THEN FLemma `isr-rep_int_constraint_step` [-1]
THEN Auto
THEN Try ((BLemma `omega_step_measure` THEN Auto))
THEN Reduce (-1)
THEN (BLemma `unsat-omega_start` ORELSE BLemma `unsat-omega_step`)
THEN Auto) }
Latex:
Latex:
\mforall{}[n:\mBbbN{}]. \mforall{}[eqs,ineqs:\{L:\mBbbZ{} List| ||L|| = (n + 1)\} List].
\mneg{}satisfiable(eqs;ineqs) supposing \muparrow{}isr(omega(eqs;ineqs))
By
Latex:
(Auto
THEN Unfold `omega` -1
THEN (CallByValueReduce (-1) THENA Auto)
THEN FLemma `isr-rep\_int\_constraint\_step` [-1]
THEN Auto
THEN Try ((BLemma `omega\_step\_measure` THEN Auto))
THEN Reduce (-1)
THEN (BLemma `unsat-omega\_start` ORELSE BLemma `unsat-omega\_step`)
THEN Auto)
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