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Proof step 19 from proof valid-wl-erasing-invalidate0 (previous step)

# apebs = # wlar, avhdr0.sqn = valid-sqns(v, m0, apebs).max, wlar[n] = wl-entry(m5, used), apebs[n] = mkpeb(aechdr(m5), avhdr0, buf0, m3, false), n < # wlar, m < # wlar, valid-peb(v, m0, apebs[m]), valid-peb(v, m0, mkpeb(aechdr(m5), avhdr0, buf0, m3, false)) ⊦ avhdr0.sqn = (valid-sqns(v, m0, apebs) -- apebs[m].vidhdr.sqn).max, n = m, valid-peb(mkpeb(aehdr, avhdr, buf, m2, false))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 20:
# apebs = # wlar, avhdr0.sqn = valid-sqns(v, m0, apebs).max, apebs[n] = mkpeb(aechdr(m5), avhdr0, buf0, m3, false), wlar[n] = wl-entry(m5, used), apebs[m] = mkpeb(aehdr0, avhdr1, buf1, m1, boolvar), m < # wlar, n < # wlar, valid-peb(v, m0, mkpeb(aechdr(m5), avhdr0, buf0, m3, false)), valid-peb(v, m0, apebs[m]) ⊦ avhdr0.sqn = (valid-sqns(v, m0, apebs) -- avhdr1.sqn).max, n = m, valid-peb(mkpeb(aehdr, avhdr, buf, m2, false))

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], aehdr0, avhdr1, buf1, m1, boolvar]

Additional information

Used simplifier rules: ⊦ ( ((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], aehdr0, avhdr1, buf1, m1, boolvar