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Proof step 28 from proof okstore-03 (previous step)

⊦ okstore(st) ∧ r ≠ jvmref → ( 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])) ↔ ¬ ¬ (r -- _type ∈ st[r -- sk, val] ∧ is_typevalue(st[r -- sk, val][r -- _type])))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ okstore(st) ↔ is_javastore(st) ∧ (∀ r. r ≠ jvmref ∧ r ∈ st → r -- _type ∈ st ∧ is_typevalue(st[r -- _type]))
Proof step 27:
⊦ is_javastore(st) ∧ (∀ r. r ≠ jvmref ∧ r ∈ st → r -- _type ∈ st ∧ is_typevalue(st[r -- _type])) ∧ r ≠ jvmref → ( 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])) ↔ ¬ ¬ (r -- _type ∈ st[r -- sk, val] ∧ is_typevalue(st[r -- sk, val][r -- _type])))

Rule argument

[crewrite-arg: okstore, F, [st] → [st]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st)]]