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Proof step 7 from proof okarray-put-nopath-01 (previous step)

okarray(refval(r), byte_type, st[r -- _length] .intval, st), is_valid_ref(str, r0, st) ⊦ r = jvmref, path∃(str, r, r0, st), okarray(r, byte_type, st[r0 -- sk, val1])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ okarray(val, ty, i, st) ↔ okarray(val .refval, ty, st) ∧ st[val .refval -- _length] .intval = i
Proof step 6:
okarray(refval(r) .refval, byte_type, st) ∧ st[refval(r) .refval -- _length] .intval = st[r -- _length] .intval, is_valid_ref(str, r0, st) ⊦ r = jvmref, path∃(str, r, r0, st), okarray(r, byte_type, st[r0 -- sk, val1])

Rule argument

[x0lemmaarg: spec-name: okfuns instance-name: lemma-name: okarray-okarray-01 antecedent: succedent: okarray(val, ty, i, st) ↔ okarray(val .refval, ty, st) ∧ st[val .refval -- _length] .intval = i substlist: [st, i, ty, val] → [st, st[r -- _length] .intval, byte_type, refval(r)] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, st[r -- _length] .intval, byte_type, refval(r))]]