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Proof step 6 from proof okstore-03 (previous step)

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

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 6, [QUANTTERMLIST : (r)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : sk ≠ sk0 ⊦ r -- sk ∈ st[r -- sk0, val] ↔ r -- sk ∈ st])], [EXTRATERMS : (r)]]