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Proof step 5 from proof fwd-inv-loghead (previous step)

(elems nx0 ∪ dom gstore0) ++ n = dom gstore ∪ ginval, ginval ∩ elems nx0 = ∅, inv(gstore \ ginval) ⊦ inv(gstore[n]), n ∈ ginval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ inv(gstore) ↔ (∀ n. n ∈ gstore → inv(gstore[n]))
Proof step 7:
(elems nx0 ∪ dom gstore0) ++ n = dom gstore ∪ ginval, ginval ∩ elems nx0 = ∅, ∀ n. n ∈ gstore \ ginval → inv((gstore \ ginval)[n]) ⊦ inv(gstore[n]), n ∈ ginval

Rule argument

spec: ablock-store-inv, inst: group-store name: inv-store seq: ⊦ inv(gstore) ↔ (∀ n. n ∈ gstore → inv(gstore[n])) subst: [gstore] → [gstore \ ginval] flags: <all paths>

Additional information

Used terms: gstore \ ginval