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Proof step 123 from proof junkrefs-put-nopathexplus-equiv (previous step)

junkrefs(str, r ' + refs0, ty, st) ⊦ junkrefs(str, r ' + refs0, ty, st[r0 -- sk, val]), sk = _type, path∃+(str, r, r0, st)

User applied rule induction

And obtained the following new goals

Proof step 122:
junkrefs(str, r ' + refs0, ty, st), ∀ val, sk, r0, st, ty, r, str, refs. # refs < # refs0 → (junkrefs(str, r ' + refs, ty, st) → junkrefs(str, r ' + refs, ty, st[r0 -- sk, val]) ∨ sk = _type ∨ path∃+(str, r, r0, st)) ⊦ junkrefs(str, r ' + refs0, ty, st[r0 -- sk, val]) ∨ sk = _type ∨ path∃+(str, r, r0, st)

Rule argument

[INDHYPARG : [STANDARDINDUCTIONTYPE : ], true, false, # refs0, [] → [], <]

Additional information

[[CONCRETESIMPRULES : ([CSIMPLESSPRED : <])], [EXTRATERMS : (# refs0)]]