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Proof step 12 from proof validref-putbar (previous step)

validref(str, r, ty, st), okarray(r0, byte_type, st), r0 ∈ st, ∀ str, r, ty, st, r0, i. validref(str, r, ty, st) ∧ okbytearray(r0, st) → r = r0 ∨ validref(str, r, ty, putByteArray(bytes0, r0, i, st)) ⊦ r = r0, st[r0 -- _type] .type .type = byte_type, r0 = jvmref, validref(str, r, ty, putByteArray(bytes0, r0, i + 1, st)[r0 -- i ', byteval(by)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ 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 11:
validref(str, r, ty, st), okreftype(refval(r0), mkarraytype(byte_type), st) ∧ r0 ≠ jvmref ∧ r0 -- _length ∈ st ∧ is_integervalue(st[r0 -- _length]) ∧ 0 ≤ st[r0 -- _length] .intval ∧ is_arrayref(r0, st[r0 -- _length] .intval, st) ∧ (∀ j. 0 ≤ j ∧ j < st[r0 -- _length] .intval → oktype(st[r0 -- j '], byte_type, st)), r0 ∈ st, ∀ str, r, ty, st, r0, i. validref(str, r, ty, st) ∧ okbytearray(r0, st) → r = r0 ∨ validref(str, r, ty, putByteArray(bytes0, r0, i, st)) ⊦ r = r0, st[r0 -- _type] .type .type = byte_type, r0 = jvmref, validref(str, r, ty, putByteArray(bytes0, r0, i + 1, st)[r0 -- i ', byteval(by)])

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, r0] ,F ,okfuns , ,okarrayNotNull ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, byte_type, r0)]]