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Proof step 33 from proof inv-add-gnds (previous step)

# lax = # gndx, gstore1[nx.last] = groupblock(gndx0, lax0, m), remove-refsize0(gstore0) = gstore0, remove-refsize0(istore1) = istore1, elems nx ∩ ginval2 = ∅, dom gstore0 ∪ elems nx = dom gstore1 ∪ ginval2, inv(groupblock(gndx0, lax0, m)), inv(gstore1 \ ginval2), inv(gstore0), inv(istore2), inv(istore1), inv-flashsize(gndx, lax), nx.last ∈ gstore1, istore1 ⊑ istore2 ⊦ nx = [], dups(lax), dups(nx), dups(lax0 + lax), inv(groupblock(gndx0 + gndx, lax0 + lax, m)), nx.last ∈ ginval2

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 34:
⊦ inv(gblock) ↔ # gblock.gndlist = # gblock.ladrlist ∧ inv-flashsize(gblock.gndlist, gblock.ladrlist) ∧ ¬ dups(gblock.ladrlist)
Proof step 35:
# lax = # gndx, gstore1[nx.last] = groupblock(gndx0, lax0, m), remove-refsize0(istore1) = istore1, remove-refsize0(gstore0) = gstore0, elems nx ∩ ginval2 = ∅, dom gstore0 ∪ elems nx = dom gstore1 ∪ ginval2, inv(istore1), inv(istore2), inv(gstore0), inv(gstore1 \ ginval2), inv(groupblock(gndx0, lax0, m)), inv-flashsize(gndx, lax), nx.last ∈ gstore1, istore1 ⊑ istore2 ⊦ nx = [], dups(lax0 + lax), dups(nx), dups(lax), nx.last ∈ ginval2, # groupblock(gndx0 + gndx, lax0 + lax, m).gndlist = # groupblock(gndx0 + gndx, lax0 + lax, m).ladrlist ∧ inv-flashsize(groupblock(gndx0 + gndx, lax0 + lax, m).gndlist, groupblock(gndx0 + gndx, lax0 + lax, m).ladrlist) ∧ ¬ dups(groupblock(gndx0 + gndx, lax0 + lax, m).ladrlist)

Rule argument

spec: ablock-store-inv, inst: group-store name: inv-block seq: ⊦ inv(gblock) ↔ # gblock.gndlist = # gblock.ladrlist ∧ inv-flashsize(gblock.gndlist, gblock.ladrlist) ∧ ¬ dups(gblock.ladrlist) subst: [gblock] → [groupblock(gndx0 + gndx, lax0 + lax, m)] flags: <all paths>

Additional information

Used terms: groupblock(gndx0 + gndx, lax0 + lax, m)