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Proof step 10 from proof valid-eraseqp-append (previous step)

apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar), apebs[m0] = mkpeb(aehdr0, avhdr0, buf0, m1, boolvar0), m0 < # apebs, valid-eraseq(apebs, q0), valid-peb(apebs[m0]) → lref0 = avhdr0.vol × avhdr0.leb, ∀ apebs, n, aehdr, avhdr, buf, m, boolvar, lref. apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar) ∧ valid-eraseq(apebs, q0) → ( valid-eraseq(apebs, q0 + eq-entry(n, lref) ') ↔ n < # apebs ∧ (valid-peb(mkpeb(aehdr, avhdr, buf, m, boolvar)) → lref = avhdr.vol × avhdr.leb)) ⊦ valid-eraseq(apebs, q0 + eq-entry(n, lref) ') ↔ n < # apebs ∧ (valid-peb(mkpeb(aehdr, avhdr, buf, m, boolvar)) → lref = avhdr.vol × avhdr.leb)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
apebs[m0] = mkpeb(aehdr0, avhdr0, buf0, m1, boolvar0), apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar), m0 < # apebs, valid-eraseq(apebs, q0), valid-peb(mkpeb(aehdr0, avhdr0, buf0, m1, boolvar0)) → lref0 = avhdr0.vol × avhdr0.leb, ∀ apebs, n, aehdr, avhdr, buf, m, boolvar, lref. apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar) ∧ valid-eraseq(apebs, q0) → ( valid-eraseq(apebs, q0 + eq-entry(n, lref) ') ↔ n < # apebs ∧ (valid-peb(mkpeb(aehdr, avhdr, buf, m, boolvar)) → lref = avhdr.vol × avhdr.leb)) ⊦ valid-eraseq(apebs, q0 + eq-entry(n, lref) ') ↔ n < # apebs ∧ (valid-peb(mkpeb(aehdr, avhdr, buf, m, boolvar)) → lref = avhdr.vol × avhdr.leb)

Proof step 10 from proof valid-eraseqp-append (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information