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Proof step 2 from proof at-explicit-diff (previous step)

# x0 = # lax0, st[n] = mkblock(x0 + a ' + x1, lax0 + @(m0, m1) ' + lax1, m2), inv(st \ ns), n ∈ st ⊦ st[@(n, m0, m1)] = a, n ∈ ns

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
# x0 = # lax0, st[n] = mkblock(x0 + a ' + x1, lax0 + @(m0, m1) ' + lax1, m2), n ∈ st, ∀ n0. n0 ∈ st \ ns → # (st \ ns)[n0].list = # (st \ ns)[n0].ladrlist ∧ inv-flashsize((st \ ns)[n0].list, (st \ ns)[n0].ladrlist) ∧ ¬ dups((st \ ns)[n0].ladrlist) ⊦ st[@(n, m0, m1)] = a, n ∈ ns

Rule argument

Additional information

Used simplifier rules: inv-store: ⊦ inv(st) ↔ (∀ n. n ∈ st → inv(st[n]));%inv-block: ⊦ inv(ablock) ↔ # ablock.list = # ablock.ladrlist ∧ inv-flashsize(ablock.list, ablock.ladrlist) ∧ ¬ dups(ablock.ladrlist);