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Proof step 4 from proof junkref-put-ba (previous step)

st[r0 -- _type] = typeval(mkarraytype(byte_type)), is_array(r0, st), junkrefs(str, r ' + refs0, st[r -- _type] .type, st[r1 -- mkfs(class, mkarraytype(byte_type), fieldvar) ', refval(r0)]) ⊦ junkrefs(str, r ' + refs0, st[r -- _type] .type, st), ∃ refs. refs ≠ [] ∧ refs .first = r ∧ junkrefs(str, refs, st[refs .first -- _type] .type, st)

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ ¬ junkrefs(str, refs, ty, st) ∧ fs .type = mkarraytype(byte_type) ∧ is_array(r0, st) ∧ st[r0 -- _type] = typeval(mkarraytype(byte_type)) → ¬ junkrefs(str, refs, ty, st[r1 -- fs ', refval(r0)])

Rule argument

[LEMMAARG : junkrefs-put-ba, [str, refs, ty, st, fs, r0, r1] → [str, r ' + refs0, st[r -- _type] .type, st, mkfs(class, mkarraytype(byte_type), fieldvar), r0, r1]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ mkarraytype(ty) = mkarraytype(ty0) ↔ ty = ty0])], [EXTRATERMS : (str, r ' + refs0, st[r -- _type] .type, st, mkfs(class, mkarraytype(byte_type), fieldvar), r0, r1)]]