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Proof step 58 from proof validrefs-put-notin-02 (previous step)

validrefs(str, refs + r0 ', ty, st), okval(val, ty0) ⊦ mkfs(class, ty0, fieldvar) ' = _length, mkfs(class, ty0, fieldvar) ' = _type, validrefs(str, refs + r0 ', ty, st[r -- mkfs(class, ty0, fieldvar) ', val]), r ∈ refs

User applied rule structural induction

And obtained the following new goals

Proof step 12:
validrefs(str, [] + r0 ', ty, st), okval(val, ty0) ⊦ mkfs(class, ty0, fieldvar) ' = _length, mkfs(class, ty0, fieldvar) ' = _type, validrefs(str, [] + r0 ', ty, st[r -- mkfs(class, ty0, fieldvar) ', val]), r ∈ []
Proof step 57:
∀ str, r0, ty, st, val, ty0, class, fieldvar, r. validrefs(str, acc + r0 ', ty, st) ∧ okval(val, ty0) → mkfs(class, ty0, fieldvar) ' = _length ∨ mkfs(class, ty0, fieldvar) ' = _type ∨ validrefs(str, acc + r0 ', ty, st[r -- mkfs(class, ty0, fieldvar) ', val]) ∨ r ∈ acc, validrefs(str, (r1 + acc) + r0 ', ty, st), okval(val, ty0) ⊦ mkfs(class, ty0, fieldvar) ' = _length, mkfs(class, ty0, fieldvar) ' = _type, validrefs(str, (r1 + acc) + r0 ', ty, st[r -- mkfs(class, ty0, fieldvar) ', val]), r ∈ r1 + acc

Rule argument

[VARWITHVARSEQSARG : refs, ()]

Additional information

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