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Proof step 49 from proof disjoint-nojunk-newref-subset (previous step)

validrefs(str, r1 ' + refs1, st[r1 -- _type] .type, st), validrefs(str, refs1 .last ', st1[refs1 .last -- _type] .type, st1), r1 -- _type ∈ st, r1 ∈ st, st ⊆ st1, newref(refs1 .last, st) ⊦ refs1 = [], refs1 .last = jvmref, r1 = refs1 .last, junkref(str, r1, st), is_valid_ref(str, refs1 .last, st1)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: cyclic instance-name: lemma-name: validrefs-one antecedent: succedent: validrefs(str, r ', ty, st) ↔ r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st) ∧ st[r -- _type] .type ≤ ty substlist: [st, ty, r, str] → [st1, st1[refs1 .last -- _type] .type, refs1 .last, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1, st1[refs1 .last -- _type] .type, refs1 .last, str)]]