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Proof step 8 from proof at-explicit-diff (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: in seq: ⊦ adr ∈ st ↔ adr.lnum ∈ st ∧ @(adr.pos, adr.size) ∈ st[adr.lnum].ladrlist subst: [st, adr] → [st, @(n, m0, m1)] flags: <all paths>

Additional information

Used simplifier rules: ⊦ @(m, m0, m1).lnum = m; (s)% ⊦ @(m, m0, m1).pos = m0; (s)% ⊦ @(m, m0, m1).size = m1; (s)% ⊦ mkblock(x, lax, m).ladrlist = lax; (s)% ⊦ ladr ∈ lax + lax0 ↔ ladr ∈ lax ∨ ladr ∈ lax0; (s)% ⊦ ¬ ladr ∈ lax → (ladr ∈ ladr0 ' + lax ↔ ladr = ladr0); (s)%a: ⊦ (lax + lax0) + lax1 = lax + lax0 + lax1; from specification list[laddress-list] Used terms: st, @(n, m0, m1)