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Proof step 15 from proof except-refsizeeq-trans (previous step)

st0[n] = mkblock(st1[n].list, st1[n].ladrlist, m), st2[n] = mkblock(st1[n].list, lax0, m0), n ∈ st2, n ∈ st0, n ∈ st1, ∀ n. (n ∈ st1 ↔ n ∈ st2) ∧ st1[n].list = st2[n].list ∧ st1[n].ladrlist = st2[n].ladrlist, ∀ n. (n ∈ st0 ↔ n ∈ st1) ∧ st0[n].list = st1[n].list ∧ st0[n].ladrlist = st1[n].ladrlist ⊦ st1[n].ladrlist = lax0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 16:
st2[n] = mkblock(x, lax0, m0), st0[n] = mkblock(x, lax, m), st1[n] = mkblock(x, lax, m1), n ∈ st1, n ∈ st0, n ∈ st2, ∀ n. (n ∈ st0 ↔ n ∈ st1) ∧ st0[n].list = st1[n].list ∧ st0[n].ladrlist = st1[n].ladrlist, ∀ n. (n ∈ st1 ↔ n ∈ st2) ∧ st1[n].list = st2[n].list ∧ st1[n].ladrlist = st2[n].ladrlist ⊦ lax = lax0

Rule argument

spec: ablock name: elim seq: ⊦ (x = ablock.list ∧ lax = ablock.ladrlist) ∧ m = ablock.ref-size ↔ ablock = mkblock(x, lax, m) subst: [ablock, x, lax, m, m0] → [st1[n], x, lax, m, m3]

Additional information

Used simplifier rules: ⊦ (x = ablock.list ∧ lax = ablock.ladrlist) ∧ m = ablock.ref-size ↔ ablock = mkblock(x, lax, m); (elim) Used terms: st1[n], x, lax, m, m3