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Proof step 10 from proof unchanged-pathex (previous step)

unchanged(str, r, st, st1), validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st) ⊦ validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ validrefs(str, refs, ty, st) ∧ (∀ r. r ∈ refs → unchangedNorec(r, st, st0)) → validrefs(str, refs, ty, st0)
Proof step 9:
¬ (validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st) ∧ (∀ r0. r0 ∈ r ' + refs0 → unchangedNorec(r0, st, st1))), unchanged(str, r, st, st1), validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st) ⊦ validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st1)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: unchNorec-validrefs antecedent: succedent: validrefs(str, refs, ty, st) ∧ (∀ r. r ∈ refs → unchangedNorec(r, st, st0)) → validrefs(str, refs, ty, st0) substlist: [str, refs, ty, st, st0] → [str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st, st1] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st, st1)]]