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Proof step 87 from proof validrefs-putbyte-field (previous step)

validrefs(str, refs, ty, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]) ⊦ refs = [], junkref(str, refs .first, st), validrefs(str, refs, ty, st)

User applied rule induction

And obtained the following new goals

Proof step 86:
validrefs(str, refs, ty, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]), ∀ by, fieldvar, class, r, st, ty, str, refs0. # refs0 < # refs → ( validrefs(str, refs0, ty, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]) → refs0 = [] ∨ junkref(str, refs0 .first, st) ∨ validrefs(str, refs0, ty, st)) ⊦ refs = [] ∨ junkref(str, refs .first, st) ∨ validrefs(str, refs, ty, st)

Rule argument

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

Additional information

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