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Proof step 36 from proof unchanged-junkrefs (previous step)

st[r -- _length] = st1[r -- _length], st[r -- _type] = st1[r -- _type], junkrefs(str, st[r -- i '] .refval ' + refs, st1[r -- _type] .type .type, st1), is_referencevalue(st[r -- i ']), i < st1[r -- _length] .intval, is_array(str, r, st), is_array(str, r, st1), 0 < st1[r -- _length] .intval, 0 ≤ i, is_arraytype(st1[r -- _type] .type), unchangedNorec(r, st, st1), st1[r -- _type] .type ≤ ty, unchanged(str, r, st, st1) ⊦ r = jvmref, st[r -- i '] .refval = jvmref, junkrefs(str, st[r -- i '] .refval ' + refs, st1[r -- _type] .type .type, st), unchanged(str, st[r -- i '] .refval, st, st1), st[st[r -- i '] .refval -- _type] .type ≤ st1[r -- _type] .type .type ∧ is_valid_ref(str, st[r -- i '] .refval, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: junkrefs instance-name: lemma-name: junkrefs-is-junk antecedent: succedent: r ≠ jvmref ∧ ( ¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → junkrefs(str, r ' + refs, ty, st) substlist: [st, ty, refs, r, str] → [st, st1[r -- _type] .type .type, refs, st[r -- i '] .refval, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 2)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (st, st1[r -- _type] .type .type, refs, st[r -- i '] .refval, str)]]