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Proof step 5 from proof validrefs-one (previous step)

is_obj(str, r, st), st[r -- _type] .type ≤ ty ⊦ r = jvmref, validrefs(str, r ', ty, st)

User applied rule insert lemma

And obtained the following new goals

Proof step 4:
⊦ is_obj(str, r, st) ∧ st[r -- _type] .type ≤ ty → ( validrefs(str, r ' + refs, ty, st) ↔ refs = [] ∨ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ refs .first = st[r -- fs '] .refval ∧ validrefs(str, refs, fs .type, st)))

Rule argument

[LEMMAARG : validrefs-class, [r, st, ty, str, refs] → [r, st, ty, str, []]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refs + [] = refs], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (r, st, ty, str, [])]]