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Proof step 28 from proof unchanged-lookup-generic (previous step)

path∃(str, r, r0, st), unchanged(str, r, st, st0), is_arraytype(st[r0 -- _type] .type) → sk = _length ∨ is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r0 -- _length] .intval, is_classtype(st[r0 -- _type] .type) → sk ∈ instfields(st[r0 -- _type] .type .class) ⊦ r0 = jvmref, st[r0 -- sk] = st0[r0 -- sk]

User applied rule insert lemma

And obtained the following new goals

Proof step 1:
⊦ unchanged(str, r, st, st1) ∧ path∃(str, r, r0, st) → path∃(str, r, r0, st1)
Proof step 27:
unchanged(str, r, st, st0) ∧ path∃(str, r, r0, st) → path∃(str, r, r0, st0), path∃(str, r, r0, st), unchanged(str, r, st, st0), is_arraytype(st[r0 -- _type] .type) → sk = _length ∨ is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r0 -- _length] .intval, is_classtype(st[r0 -- _type] .type) → sk ∈ instfields(st[r0 -- _type] .type .class) ⊦ r0 = jvmref, st[r0 -- sk] = st0[r0 -- sk]

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: unchanged-pathex antecedent: succedent: unchanged(str, r, st, st1) ∧ path∃(str, r, r0, st) → path∃(str, r, r0, st1) substlist: [str, r, st, st1, r0] → [str, r, st, st0, r0] add preconditions?: F is rewrite lemma?: F current spec?: T rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r, st, st0, r0)]]