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Proof step 24 from proof unchNorec-validrefs (previous step)

is_obj(str, r, st), st[r -- _type] .type ≤ ty, unchangedNorec(r, st, st0), ∀ r0. r0 ∈ refs0 → unchangedNorec(r0, st, st0), refs0 = [] ∨ mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- mkfs(class, ty0, fieldvar) ']) ∧ refs0 .first = st[r -- mkfs(class, ty0, fieldvar) '] .refval ∧ validrefs(str, refs0, ty0, st), ∀ str, ty, st, st0. validrefs(str, refs0, ty, st) ∧ (∀ r. r ∈ refs0 → unchangedNorec(r, st, st0)) → validrefs(str, refs0, ty, st0) ⊦ r = jvmref, validrefs(str, r ' + refs0, ty, st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: unchNorec-type-intro antecedent: succedent: r ≠ jvmref ∧ st[r -- _type] ≠ st0[r -- _type] → ¬ unchangedNorec(r, st, st0) substlist: [st0, st, r] → [st0, st, r] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 2)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0, st, r)]]