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Proof step 14 from proof prefix-notin-fwd (previous step)

# x = # lax, # x0 = # lax0, st0[m] = mkblock(x, lax, m2), st1[m] = mkblock(x0, lax0, m3), @(m0, m1) ∈ lax, m ∈ st0, m ∈ st1, x ⊑ x0, lax ⊑ lax0 ⊦ @(m, m0, m1) ∈ st1

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] → [st1, @(m, 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 ∧ lax ⊑ lax0 → ladr ∈ lax0; (s) Used terms: st1, @(m, m0, m1)