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Proof step 26 from proof inv-add-gnds (previous step)

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, # lax < # gndx, inv(groupblock(gndx0, lax0, m)), inv(gstore1 \ ginval2), inv(gstore0), inv(istore2), inv(istore1), inv-flashsize(prefixn(# lax, gndx), lax), nx.last ∈ gstore1, istore1 ⊑ istore2, ⌊err⌋ ⊦ # lax = # gndx, gndx = [], nx = [], dups(lax), dups(nx), dups(lax0 + lax), inv-flashsize(gndx0 + prefixn(# lax, gndx), lax0 + lax), nx.last ∈ ginval2

User applied rule insert rewrite lemma

And obtained the following new goals

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, lax0, m)] flags: <all paths>

Additional information

Used simplifier rules: ⊦ groupblock(gndx, lax, m).gndlist = gndx; (s)% ⊦ groupblock(gndx, lax, m).ladrlist = lax; (s)%⊦ inv-flashsize(gndx, lax0) ∧ inv-flashsize(gndx0, lax1) → inv-flashsize(gndx + gndx0, lax0 + lax1); (s)%a: ⊦ (lax + lax0) + lax1 = lax + lax0 + lax1; from specification list[laddress-list]%a: ⊦ (gndx + gndx0) + gndx1 = gndx + gndx0 + gndx1; from specification list[group-store] Used terms: groupblock(gndx0, lax0, m)