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Proof step 8 from proof okarray-union-02 (previous step)

st .refs ∩ st0 .refs = ∅, r ∈ st0, okarray(refval(r), ty, (st ∪ st0)[r -- _length] .intval, st ∪ st0) ⊦ r = jvmref, okarray(refval(r), ty, (st ∪ st0)[r -- _length] .intval, st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ ¬ r ∈ st .refs → (okarray(refval(r), ty, i, st ∪ st0) ↔ okarray(refval(r), ty, i, st0))
Proof step 7:
¬ ¬ r ∈ st .refs, st .refs ∩ st0 .refs = ∅, r ∈ st0, okarray(refval(r), ty, (st ∪ st0)[r -- _length] .intval, st ∪ st0) ⊦ r = jvmref, okarray(refval(r), ty, (st ∪ st0)[r -- _length] .intval, st0)

Rule argument

[crewrite-arg: okarray-union , F , [st0, st, i, ty, r] → [st0, st, (st ∪ st0)[r -- _length] .intval, ty, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0, st, (st ∪ st0)[r -- _length] .intval, ty, r)]]