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Proof step 58 from proof validrefs-put-badarrayfield (previous step)

is_arraytype(st[r0 -- _type] .type), validrefs(str, refs, ty, st[r0 -- fs ', val]) ⊦ fs ' = _type, fs ' = _length, refs = [], validrefs(str, refs, ty, st), junkref(str, refs .first, st), dups(refs .butlast)

User applied rule structural induction

And obtained the following new goals

Proof step 57:
∀ st, r0, str, ty, fs, val. is_arraytype(st[r0 -- _type] .type) ∧ validrefs(str, acc, ty, st[r0 -- fs ', val]) → fs ' = _type ∨ fs ' = _length ∨ acc = [] ∨ validrefs(str, acc, ty, st) ∨ junkref(str, acc .first, st) ∨ dups(acc .butlast), is_arraytype(st[r0 -- _type] .type), validrefs(str, r + acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _type, fs ' = _length, r + acc = [], validrefs(str, r + acc, ty, st), junkref(str, (r + acc) .first, st), dups((r + acc) .butlast)

Rule argument

[VARWITHVARSEQSARG : refs, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : references generated by [], +;])]]