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Theorem abs-theorem

HashsetInv(gs, lsf, pcf), HashsetInv(gs0, lsf0, pcf0), SetInv(ags, alsf, apcf), hashsetStep(mkstate(gs, lsf, pcf), a, mkstate(gs0, lsf0, pcf0)), abs(mkstate(gs, lsf, pcf), mkstate(ags, alsf, apcf)), ren(a, ags, alsf) = aa ⊦ (aa = τ ⊃ abs(mkstate(gs0, lsf0, pcf0), mkstate(ags, alsf, apcf)) ;∃ ags0, alsf0, apcf0. setStep(mkstate(ags, alsf, apcf), aa, mkstate(ags0, alsf0, apcf0)) ∧ abs(mkstate(gs0, lsf0, pcf0), mkstate(ags0, alsf0, apcf0)) )