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Proof step 9 from proof okstore-02 (previous step)

is_javastore(st[r -- sk, val]) ∧ (∀ r0. r0 ≠ jvmref ∧ r0 ∈ st[r -- sk, val] → r0 -- _type ∈ st[r -- sk, val] ∧ is_typevalue(st[r -- sk, val][r0 -- _type])), jvmref ∈ st ⊦ r = jvmref, (r -- _type ∈ st ∨ _type = sk) ∧ is_typevalue((_type = sk ⊃ val; st[r -- _type]))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ is_javastore(st) ↔ _mode ∈ st ∧ _out ∈ st
Proof step 8:
_mode ∈ st[r -- sk, val] ∧ _out ∈ st[r -- sk, val] ∧ (∀ r0. r0 ≠ jvmref ∧ r0 ∈ st[r -- sk, val] → r0 -- _type ∈ st[r -- sk, val] ∧ is_typevalue(st[r -- sk, val][r0 -- _type])), jvmref ∈ st ⊦ r = jvmref, (r -- _type ∈ st ∨ _type = sk) ∧ is_typevalue((_type = sk ⊃ val; st[r -- _type]))

Rule argument

[crewrite-arg: is_javastore, F, [st] → [st[r -- sk, val]]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- sk, val])]]