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Proof step 13 from proof at-store-inv (previous step)

st[n, mkblock(x, lax, m)][n0] = mkblock(x0, lax0, m0), inv-flashsize(x, lax), n0 ∈ st[n, mkblock(x, lax, m)], ∀ n0. n0 ∈ st → # st[n0].list = # st[n0].ladrlist ∧ inv-flashsize(st[n0].list, st[n0].ladrlist) ∧ ¬ dups(st[n0].ladrlist) ⊦ dups(lax), inv-flashsize(x0, lax0) ∧ ¬ dups(lax0)

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 14:
st[n, mkblock(x, lax, m)][n0] = mkblock(x0, lax0, m0), inv-flashsize(x, lax), n0 ∈ st[n, mkblock(x, lax, m)], ∀ n0. n0 ∈ st → # st[n0].list = # st[n0].ladrlist ∧ inv-flashsize(st[n0].list, st[n0].ladrlist) ∧ ¬ dups(st[n0].ladrlist) ⊦ n0 = n, dups(lax), inv-flashsize(x0, lax0) ∧ ¬ dups(lax0)

Rule argument

fma: n0 = n

Additional information

Used simplifier rules: ⊦ st[n, ablock][n] = ablock; (s)%⊦ mkblock(x, lax, m) = mkblock(x0, lax0, m0) ↔ x = x0 ∧ lax = lax0 ∧ m = m0; (ws)% ⊦ n ∈ st[n, ablock]; (s) Used formulas: n0 = n