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Proof step 45 from proof disjoint-nojunk-newref-subset-01 (previous step)

(r1 ' + refs0) .last = (r ' + refs1) .last, path∃(str, r, (r ' + refs1) .last, st1), r1 ∈ st, st ⊆ st1, newref(r, st), validrefs(str, r ' + refs1, st1[r -- _type] .type, st1), validrefs(str, r1 ' + refs0, st[r1 -- _type] .type, st1), r1 -- _type ∈ st, newref((r ' + refs1) .last, st) ⊦ r = r1, r = jvmref, (r ' + refs1) .last = jvmref, junkref(str, r1, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: cyclic instance-name: lemma-name: validrefs-subset-equiv-01 antecedent: succedent: ¬ junkref(str, r, st) ∧ st ⊆ st0 → ( validrefs(str, r ' + refs, ty, st0) ↔ validrefs(str, r ' + refs, ty, st)) substlist: [str, r, st, st0, refs, ty] → [str, r1, st, st1, refs0, st[r1 -- _type] .type] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 6)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r1, st, st1, refs0, st[r1 -- _type] .type)]]