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Proof step 3 from proof disjoint-newref (previous step)

(newref(st) ' + refs1) .last = (r1 ' + refs0) .last, validrefs(str, r1 ' + refs0, st[r1 -- _type] .type, st), validrefs(str, newref(st) ' + refs1, st[newref(st) -- _type] .type, st) ⊦ (r1 ' + refs0) .last = jvmref, newref(st) = r1

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: cyclic instance-name: lemma-name: validrefs-newref antecedent: succedent: r ∈ refs ∧ newref(r, st) → ¬ validrefs(str, refs, ty, st) substlist: [r, refs, st, str, ty] → [newref(st), newref(st) ' + refs1, st, str, st[newref(st) -- _type] .type] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 2)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ r ∈ r0 ' + refs ↔ r ≠ r0 ∧ ¬ r ∈ refs], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ newref(newref(st), st)])], [EXTRATERMS : (newref(st), newref(st) ' + refs1, st, str, st[newref(st) -- _type] .type)]]