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

refs1 .last = jvmref, validrefs(str, r ' + refs0 + r ' + refs1, ty, st), validrefs(str, r ' + refs1, st[r -- _type] .type, st), is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty ⊦ refs1 = [], r = jvmref, validrefs(str, r ' + refs1, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ validrefs(str, refs, ty, st) ∧ ty ≤ ty0 → validrefs(str, refs, ty0, st)

Rule argument

[crewrite-arg: validrefs-superclass , F , [str, refs, ty, st, ty0] → [str, r ' + refs1, st[r -- _type] .type, st, ty] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (str, r ' + refs1, st[r -- _type] .type, st, ty)]]