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Proof step 3 from proof fwd-inv-gblock-rem-del (previous step)

inv(gstore \ (ginval -- n)), n ∈ gstore ⊦ inv(gstore[n])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ inv(gstore) ↔ (∀ n. n ∈ gstore → inv(gstore[n]))
Proof step 5:
n ∈ gstore, ∀ n0. n0 ∈ gstore \ (ginval -- n) → inv((gstore \ (ginval -- n))[n0]) ⊦ inv(gstore[n])

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 -- n)] flags: <all paths>

Additional information

Used terms: gstore \ (ginval -- n)