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Proof step 2 from proof fwd-inv-loghead (previous step)

ginval ∩ elems nx = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, inv(gstore \ ginval) ⊦ nx = [], inv(gstore[nx.last])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ nx = [] ↔ ¬(∃ nx0, n. nx = nx0 + n ')
Proof step 4:
ginval ∩ elems nx = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, inv(gstore \ ginval) ⊦ inv(gstore[nx.last]), ∀ nx0, n. nx ≠ nx0 + n '

Rule argument

spec: list, inst: nat-list-set name: lastdiv-rew seq: ⊦ nx = [] ↔ ¬(∃ nx0, n. nx = nx0 + n ') subst: [nx] → [nx] flags: <all paths>

Additional information

Used terms: nx