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Proof step 17 from proof refsize-cons-crash (previous step)

(∅)[n] = groupblock(gndx0, lax0, m), dom gstore0 ∪ elems nx = dom gstore ∪ ginval, n ∈ ginval, fi.lebs ⊆ dom gstore0 ⊦ # ginval = 0, ginval = ∅, m = 0, n ∈ gstore0, n ∈ nx

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 18:
⊦ ns = ns0 ↔ (∀ n. n ∈ ns ↔ n ∈ ns0)
Proof step 19:
(∅)[n] = groupblock(gndx0, lax0, m), n ∈ ginval, fi.lebs ⊆ dom gstore0, ∀ n. n ∈ dom gstore0 ∪ elems nx ↔ n ∈ dom gstore ∪ ginval ⊦ # ginval = 0, ginval = ∅, m = 0, n ∈ nx, n ∈ gstore0

Rule argument

spec: set-basic, inst: nat-set name: Extension seq: ⊦ ns = ns0 ↔ (∀ n. n ∈ ns ↔ n ∈ ns0) subst: [ns0, ns] → [dom gstore ∪ ginval, dom gstore0 ∪ elems nx] flags: <all paths>

Additional information

Used terms: dom gstore ∪ ginval, dom gstore0 ∪ elems nx