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Proof step 36 from proof junkref-primarray-level-01 (previous step)

junkrefs(str, r ' + refs0, st[r -- _type] .type, st) ⊦ has_classtype(st[r -- _type] .type), junkrefs(str1, r ' + refs0, st[r -- _type] .type, st)

User applied rule induction

And obtained the following new goals

Proof step 35:
junkrefs(str, r ' + refs0, st[r -- _type] .type, st), ∀ str1, st, r, str, refs. # refs < # refs0 → (junkrefs(str, r ' + refs, st[r -- _type] .type, st) → has_classtype(st[r -- _type] .type) ∨ junkrefs(str1, r ' + refs, st[r -- _type] .type, st)) ⊦ has_classtype(st[r -- _type] .type) ∨ junkrefs(str1, r ' + refs0, st[r -- _type] .type, st)

Rule argument

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

Additional information

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