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Proof step 11 from proof in-put-rkvs (previous step)

∀ rk, st. rk ∈ st[rkvs0] ↔ rk ∈ st ∨ rk ∈ rkvs0 ⊦ rk ∈ (st[rkvs0][rk0, val]) ↔ rk ∈ st ∨ rk = rk0 ∨ rk ∈ rkvs0, rk0 ∈ rkvs0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st
Proof step 10:
∀ rk, st. rk ∈ st[rkvs0] ↔ rk ∈ st ∨ rk ∈ rkvs0 ⊦ rk = rk0 ∨ rk ∈ st[rkvs0] ↔ rk ∈ st ∨ rk = rk0 ∨ rk ∈ rkvs0, rk0 ∈ rkvs0

Rule argument

[speclemmaarg: ,rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st ,[val, rk0, st, rk] → [val, rk0, st[rkvs0], rk] ,F ,store ,javastore-ostorea ,In-insert ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, rk0, st[rkvs0], rk)]]