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Proof step 50 from proof unchanged-junkrefs (previous step)

st[r -- _type] = st1[r -- _type], st[r -- _length] = st1[r -- _length], is_array(str, r, st), junkrefs(str, r ' + refs0, ty, st1), unchanged(str, r, st, st1), st1[r -- _type] .type ≤ ty, unchangedNorec(r, st, st1), is_arraytype(st1[r -- _type] .type), ∀ str, st, st1, ty. unchanged(str, refs0 .first, st, st1) ∧ ¬ junkrefs(str, refs0, ty, st) → ¬ junkrefs(str, refs0, ty, st1) ⊦ r = jvmref, junkrefs(str, r ' + refs0, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: junkrefs instance-name: lemma-name: junkrefs-array antecedent: succedent: is_array(str, r, st) ∧ st[r -- _type] .type ≤ ty → ( junkrefs(str, r ' + refs, ty, st) ↔ refs ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ refs .first = st[r -- i '] .refval ∧ junkrefs (str, refs, st[r -- _type] .type .type, st))) substlist: [st, ty, refs, r, str] → [st, ty, refs0, r, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (st, ty, refs0, r, str)]]