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Proof step 3 from proof refsize-nonzero-notin-ginval (previous step)

gstore[n] = groupblock(gndx, lax, m2), inv(gstore \ ginval), refsize-cons(gstore, range ri), ri-cons(ri, nodes(gstore ↓, ginval)), n ∈ ginval, n ∈ gstore ⊦ # ginval = 0, ginval = ∅, m2 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ refsize-cons(gstore, as) ↔ (∀ n. n ∈ gstore → gstore[n].ref-size = (as | n).size)
Proof step 5:
gstore[n] = groupblock(gndx, lax, m2), inv(gstore \ ginval), ri-cons(ri, nodes(gstore ↓, ginval)), n ∈ gstore, n ∈ ginval, ∀ n. n ∈ gstore → gstore[n].ref-size = (range ri | n).size ⊦ # ginval = 0, ginval = ∅, m2 = 0

Rule argument

spec: ablock-store-refsize-cons, inst: group-store name: refsize-cons-def seq: ⊦ refsize-cons(gstore, as) ↔ (∀ n. n ∈ gstore → gstore[n].ref-size = (as | n).size) subst: [as, gstore] → [range ri, gstore] flags: <all paths>

Additional information

Used terms: range ri, gstore