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Proof step 89 from proof validrefs-del-junkrefs (previous step)

st[r0 -- _type] .type ≤ ty, junkrefs(str, (r0 ' + refs) + r ', ty, st -- r) ⊦ r = r0, junkref(str, r0, st), r ∈ refs, validrefs(str, r0 ' + refs + r ', ty, st)

User applied rule structural induction

And obtained the following new goals

Proof step 47:
st[r0 -- _type] .type ≤ ty, junkrefs(str, (r0 ' + []) + r ', ty, st -- r) ⊦ r = r0, junkref(str, r0, st), r ∈ [], validrefs(str, r0 ' + [] + r ', ty, st)
Proof step 88:
∀ st, r0, ty, str, r. st[r0 -- _type] .type ≤ ty ∧ junkrefs(str, (r0 ' + acc) + r ', ty, st -- r) → r = r0 ∨ junkref(str, r0, st) ∨ r ∈ acc ∨ validrefs(str, r0 ' + acc + r ', ty, st), st[r0 -- _type] .type ≤ ty, junkrefs(str, (r0 ' + (r1 + acc)) + r ', ty, st -- r) ⊦ r = r0, junkref(str, r0, st), r ∈ r1 + acc, validrefs(str, r0 ' + (r1 + acc) + r ', ty, st)

Rule argument

[VARWITHVARSEQSARG : refs, ()]

Additional information

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