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Proof step 15 from proof inv-valid-adrs (previous step)

# x = # lax, st[m] = mkblock(x, lax, m1), inv-flashsize(x, lax), @(m, m0, 0) ∈ as, m ∈ st, @(m0, 0) ∈ lax, as ⊆ dom nodes(st) ⊦ # as = 0, as = ∅, dups(lax)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ ladr ∈ lax ↔ (∃ lax0, lax1. lax = lax0 + (ladr + lax1))
Proof step 17:
# x = # lax, st[m] = mkblock(x, lax, m1), inv-flashsize(x, lax), m ∈ st, @(m, m0, 0) ∈ as, as ⊆ dom nodes(st), ∃ lax0, lax1. lax = lax0 + (@(m0, 0) + lax1) ⊦ # as = 0, as = ∅, dups(lax)

Rule argument

spec: list, inst: laddress-list name: in-def seq: ⊦ ladr ∈ lax ↔ (∃ lax0, lax1. lax = lax0 + (ladr + lax1)) subst: [lax, ladr] → [lax, @(m0, 0)] flags: <all paths>

Additional information

Used terms: lax, @(m0, 0)