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Proof step 7 from proof validreflist-addarray (previous step)

validreflist(str, vals1, ty1, st), validref(str, r, ty1, st), ∀ str, ty1, st, ty, vals0. validreflist(str, vals1, ty1, st) → validreflist(str, vals1, ty1, addarray(newref(st), ty, vals0, st)) ⊦ validref(str, r, ty1, addarray(newref(st), ty, vals0, st)) ∧ validreflist(str, vals1, ty1, addarray(newref(st), ty, vals0, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ newref(r1, st) ∧ validref(str, r, ty1, st) → validref(str, r, ty1, addarray(r1, ty, vals, st))
Proof step 6:
newref(newref(st), st) ∧ validref(str, r, ty1, st), validreflist(str, vals1, ty1, st), validref(str, r, ty1, st), ∀ str, ty1, st, ty, vals0. validreflist(str, vals1, ty1, st) → validreflist(str, vals1, ty1, addarray(newref(st), ty, vals0, st)) ⊦ true ∧ validreflist(str, vals1, ty1, addarray(newref(st), ty, vals0, st))

Rule argument

[crewrite-arg: validref-addarray , F , [st, vals, ty, r1, ty1, r, str] → [st, vals0, ty, newref(st), ty1, r, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ newref(newref(st), st)])], [EXTRATERMS : (st, vals0, ty, newref(st), ty1, r, str)]]