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Proof step 7 from proof prefix-trans (previous step)

st2[n] = mkblock(x0, lax0, m0), st0[n] = mkblock(x, lax, m), n ∈ st2, n ∈ st0, dom st1 ⊆ dom st2, dom st0 ⊆ dom st1, dom st0 ⊆ dom st2, n ∈ st1 → st1[n].list ⊑ x0 ∧ st1[n].ladrlist ⊑ lax0 ∧ # st1[n].list = # st1[n].ladrlist ∧ # x0 = # lax0, ∀ n. n ∈ st0 ∧ n ∈ st1 → st0[n].list ⊑ st1[n].list ∧ st0[n].ladrlist ⊑ st1[n].ladrlist ∧ # st0[n].list = # st0[n].ladrlist ∧ # st1[n].list = # st1[n].ladrlist ⊦ x ⊑ x0 ∧ lax ⊑ lax0 ∧ # x = # lax ∧ # x0 = # lax0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 8:
st0[n] = mkblock(x, lax, m), st2[n] = mkblock(x0, lax0, m0), st1[n] = mkblock(x1, lax1, m1), n ∈ st0, n ∈ st2, dom st0 ⊆ dom st2, dom st0 ⊆ dom st1, dom st1 ⊆ dom st2, n ∈ st1 → x1 ⊑ x0 ∧ lax1 ⊑ lax0 ∧ # x1 = # lax1 ∧ # x0 = # lax0, ∀ n. n ∈ st0 ∧ n ∈ st1 → st0[n].list ⊑ st1[n].list ∧ st0[n].ladrlist ⊑ st1[n].ladrlist ∧ # st0[n].list = # st0[n].ladrlist ∧ # st1[n].list = # st1[n].ladrlist ⊦ x ⊑ x0 ∧ lax ⊑ lax0 ∧ # x = # lax ∧ # x0 = # 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, m1, boolvar] → [st1[n], x1, lax1, m5, m6, m7, boolvar1]

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], x1, lax1, m5, m6, m7, boolvar1