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Proof step 50 from proof valid-wl-write-valid (previous step)

# apebs = # wlar, avhdr1.sqn = valid-sqns(v, m5, apebs).max, wlar[m] = wl-entry(m2, used), apebs[m] = mkpeb(aehdr, avhdr, buf0, m0, boolvar0), wlar[n] = wl-entry(m4, used), apebs[n] = mkpeb(aechdr(m4), avhdr1, buf2, m6, false), m < # wlar, n < # wlar, m < # apebs, valid-peb(v, m5, mkpeb(aechdr(m4), avhdr1, buf2, m6, false)), valid-peb(mkpeb(aehdr, avhdr, buf1, m1, boolvar1)), valid-peb(mkpeb(aehdr, avhdr, buf0, m0, boolvar0)) ⊦ avhdr1.sqn = ( (valid-sqns(v, m5, apebs) \ (valid-peb(v, m5, apebs[m]) ⊃ {apebs[m].vidhdr.sqn} ;∅)) ∪ (valid-peb(v, m5, mkpeb(aehdr, avhdr, buf1, m1, boolvar1)) ⊃ {mkpeb(aehdr, avhdr, buf1, m1, boolvar1).vidhdr.sqn} ;∅) ).max, n = m

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 51:
# apebs = # wlar, avhdr1.sqn = valid-sqns(v, m5, apebs).max, wlar[m] = wl-entry(m2, used), apebs[m] = mkpeb(aehdr, avhdr, buf0, m0, boolvar0), wlar[n] = wl-entry(m4, used), apebs[n] = mkpeb(aechdr(m4), avhdr1, buf2, m6, false), n < # wlar, m < # wlar, valid-peb(v, m5, mkpeb(aechdr(m4), avhdr1, buf2, m6, false)), valid-peb(mkpeb(aehdr, avhdr, buf1, m1, boolvar1)), valid-peb(mkpeb(aehdr, avhdr, buf0, m0, boolvar0)) ⊦ avhdr1.sqn = ( (valid-sqns(v, m5, apebs) \ (valid-peb(v, m5, mkpeb(aehdr, avhdr, buf0, m0, boolvar0)) ⊃ {avhdr.sqn} ;∅)) ∪ (valid-peb(v, m5, mkpeb(aehdr, avhdr, buf1, m1, boolvar1)) ⊃ {avhdr.sqn} ;∅) ).max, n = m

Rule argument

Additional information

Used simplifier rules: ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)