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Proof step 7 from proof refsize-cons-crash (previous step)

(n ∈ nx ∨ ¬ n ∈ ginval ⊃ groupblock(gstore[n].gndlist, gstore[n].ladrlist, (n ∈ gstore0 ⊃ gstore0[n].ref-size;0));gstore0[n]) = groupblock(gndx, lax, m), dom gstore0 ∪ elems nx = dom gstore ∪ ginval, refsize-cons(gstore0, range fi), n ∈ crash(gstore, gstore0, ginval, nx), fi.lebs ⊆ dom gstore0 ⊦ m = (range fi | n).size

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ refsize-cons(gstore, as) ↔ (∀ n. n ∈ gstore → gstore[n].ref-size = (as | n).size)
Proof step 9:
(n ∈ nx ∨ ¬ n ∈ ginval ⊃ groupblock(gstore[n].gndlist, gstore[n].ladrlist, (n ∈ gstore0 ⊃ gstore0[n].ref-size;0));gstore0[n]) = groupblock(gndx, lax, m), dom gstore0 ∪ elems nx = dom gstore ∪ ginval, n ∈ crash(gstore, gstore0, ginval, nx), fi.lebs ⊆ dom gstore0, ∀ n. n ∈ gstore0 → gstore0[n].ref-size = (range fi | n).size ⊦ m = (range fi | n).size

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 fi, gstore0] flags: <all paths>

Additional information

Used terms: range fi, gstore0