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Proof step 5 from proof pathex-putshortfield (previous step)

is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']), validrefs(str, r0 ' + refs0, mkclasstype(`java.lang.Object' .class), st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ⊦ refs0 = [], junkref(str, r0, st), validrefs(str, r0 ' + refs0, mkclasstype(`java.lang.Object' .class), st)

User applied rule insert lemma

And obtained the following new goals

Proof step 4:
⊦ is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']) ∧ refs0 ≠ [] ∧ validrefs(str, refs0, ty, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∧ ¬ junkref(str, refs0 .first, st) → validrefs(str, refs0, ty, st)

Rule argument

[LEMMAARG : validrefs-putshort-field, [st, r, class, fieldvar, refs0, str, ty, sho] → [st, r, class, fieldvar, r0 ' + refs0, str, mkclasstype(`java.lang.Object' .class), sho]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ (r ' + refs) .first = r])], [EXTRATERMS : (st, r, class, fieldvar, r0 ' + refs0, str, mkclasstype(`java.lang.Object' .class), sho)]]