[Imprint][Data Privacy Statement][E-Mail]
View long theorem info.
View the proof.
Back to main index.
View the specification.
View theorem base summary,
View theorem base listing,
the used properties by spec,
the dependency list,
the symbol table,
Proof step 29 from proof refine-isbad (previous step)
| pebs[m] = mkpeb(buf, m0, boolvar), m < # pebs, m < # apebs, abs(pebs, apebs), abs-peb(mkpeb(buf, m0, boolvar), apebs[m]), mtd-cons(pebs),
ubi-io-inv(apebs)
⊦ boolvar ↔ apebs[m].bad |
Heuristic elimination applied rule insert elim lemma
And closed the goal!
Rule argument
spec: apeb
name: elim
seq: ⊦ ( ( (aehdr = apeb.echdr ∧ avhdr = apeb.vidhdr)
∧ buf = apeb.data)
∧ m = apeb.fill)
∧ (boolvar ↔ apeb.bad)
↔ apeb = mkpeb(aehdr, avhdr, buf, m, boolvar)
subst: [apeb, aehdr, avhdr, buf, m, boolvar]
→ [apebs[m], aehdr, avhdr, buf0, m1, boolvar0]Additional information
Used simplifier rules:
abs-bad: ⊦ n < # apebs ∧ abs(pebs, apebs)
∧ pebs[n] = mkpeb(buf0, m0, boolvar0)
∧ apebs[n] = mkpeb(aehdr, avhdr, buf, m1, boolvar1)
→ (boolvar0 ↔ boolvar1); (forward) from specification ubi-io-abs%⊦ ( ((aehdr = apeb.echdr ∧ avhdr = apeb.vidhdr) ∧ buf = apeb.data)
∧ m = apeb.fill)
∧ (boolvar ↔ apeb.bad)
↔ apeb = mkpeb(aehdr, avhdr, buf, m, boolvar); (elim)
Used terms: apebs[m], aehdr, avhdr, buf0, m1, boolvar0