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Proof step 18 from proof okstore-other (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
is_javastore(st), r ∈ st, ∀ r. r ≠ jvmref ∧ r ∈ st → r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ⊦ r -- sk = _mode, r -- sk = _out, sk = _type, is_javastore(st[r -- sk, val]) ∧ (r0 ≠ jvmref ∧ r0 ∈ st → r0 -- _type ∈ st ∧ is_typevalue(st[r0 -- _type]))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st])]]