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Proof step 11 from proof junkref-putbar (previous step)

okarray(r2, byte_type, st), junkref(`docs2store', r, putByteArray(bytes, r2, i + 1, st)[r2 -- i ', byteval(by)]), r2 ∈ st, ∀ st, i, r2, r, bytes0. # bytes0 < # (by ' + bytes) → (junkref(`docs2store', r, putByteArray(bytes0, r2, i, st)) ∧ okbytearray(r2, st) → junkref(`docs2store', r, st)) ⊦ r2 = jvmref, junkref(`docs2store', r, st), junkref(`docs2store', r, putByteArray(bytes, r2, i + 1, st)), okval(byteval(by), st[r2 -- _type] .type .type)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ okarray(r, ty, st) ↔ okreftype(refval(r), mkarraytype(ty), st) ∧ r ≠ jvmref ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ 0 ≤ st[r -- _length] .intval ∧ is_arrayref(r, st[r -- _length] .intval, st) ∧ (∀ j. 0 ≤ j ∧ j < st[r -- _length] .intval → oktype(st[r -- j '], ty, st))
Proof step 10:
okreftype(refval(r2), mkarraytype(byte_type), st) ∧ r2 ≠ jvmref ∧ r2 -- _length ∈ st ∧ is_integervalue(st[r2 -- _length]) ∧ 0 ≤ st[r2 -- _length] .intval ∧ is_arrayref(r2, st[r2 -- _length] .intval, st) ∧ (∀ j. 0 ≤ j ∧ j < st[r2 -- _length] .intval → oktype(st[r2 -- j '], byte_type, st)), junkref(`docs2store', r, putByteArray(bytes, r2, i + 1, st)[r2 -- i ', byteval(by)]), r2 ∈ st, ∀ st, i, r2, r, bytes0. # bytes0 < # (by ' + bytes) → (junkref(`docs2store', r, putByteArray(bytes0, r2, i, st)) ∧ okbytearray(r2, st) → junkref(`docs2store', r, st)) ⊦ r2 = jvmref, junkref(`docs2store', r, st), junkref(`docs2store', r, putByteArray(bytes, r2, i + 1, st)), okval(byteval(by), st[r2 -- _type] .type .type)

Rule argument

[speclemmaarg: , okarray(r, ty, st) ↔ okreftype(refval(r), mkarraytype(ty), st) ∧ r ≠ jvmref ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ 0 ≤ st[r -- _length] .intval ∧ is_arrayref(r, st[r -- _length] .intval, st) ∧ (∀ j. 0 ≤ j ∧ j < st[r -- _length] .intval → oktype(st[r -- j '], ty, st)) ,[st, ty, r] → [st, byte_type, r2] ,F ,okfuns , ,okarrayNotNull ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, byte_type, r2)]]