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Proof step 28 from proof size-0 (previous step)

(range ri | m).size = 0, gstore[m] = groupblock(gndx, lax, m1), ri[key] = @(m, m0, 0), inv(gstore \ ginval), inv(groupblock(gndx, lax, m1)), key-cons(key, nodes(gstore ↓, ginval)[@(m, m0, 0)]), key ∈ ri, @(m0, 0) ∈ prefixn(valid-group-nodes(gndx), lax), m ∈ gstore ⊦ m ∈ ginval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 29:
⊦ inv(gblock) ↔ # gblock.gndlist = # gblock.ladrlist ∧ inv-flashsize(gblock.gndlist, gblock.ladrlist) ∧ ¬ dups(gblock.ladrlist)
Proof step 30:
# groupblock(gndx, lax, m1).gndlist = # groupblock(gndx, lax, m1).ladrlist, (range ri | m).size = 0, ri[key] = @(m, m0, 0), gstore[m] = groupblock(gndx, lax, m1), inv(gstore \ ginval), inv-flashsize(groupblock(gndx, lax, m1).gndlist, groupblock(gndx, lax, m1).ladrlist), key-cons(key, nodes(gstore ↓, ginval)[@(m, m0, 0)]), m ∈ gstore, @(m0, 0) ∈ prefixn(valid-group-nodes(gndx), lax), key ∈ ri ⊦ dups(groupblock(gndx, lax, m1).ladrlist), m ∈ ginval

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(gndx, lax, m1)] flags: <all paths>

Additional information

Used terms: groupblock(gndx, lax, m1)