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Proof step 15 from proof compatarray-mode (previous step)

st[r -- _type] .type = mkarraytype(ty), st[r -- _length] = intval(i), j < i, 0 ≤ i, r -- _length ∈ st, is_arrayref(r, i, st), r ∈ st, 0 ≤ j, 0 < i, compat(str, st[r -- j '], ty, st[_mode, val]) ⊦ r = jvmref, compat(str, st[r -- j '], ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ ¬ is_referencevalue(val) → (compat(str, val, ty, st) ↔ okval(val, ty))
Proof step 13:
¬ ¬ is_referencevalue(st[r -- j ']), st[r -- _type] .type = mkarraytype(ty), st[r -- _length] = intval(i), j < i, 0 ≤ i, r -- _length ∈ st, is_arrayref(r, i, st), r ∈ st, 0 ≤ j, 0 < i, compat(str, st[r -- j '], ty, st[_mode, val]) ⊦ r = jvmref, compat(str, st[r -- j '], ty, st)
Proof step 14:
⊦ ¬ is_referencevalue(val) → (compat(str, val, ty, st) ↔ okval(val, ty))

Rule argument

[crewrite-arg: compatval-noref , F , [st, ty, val, str] → [st[_mode, val], ty, st[r -- j '], str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[_mode, val], ty, st[r -- j '], str)]]