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Proof step 11 from proof pathex-validrefs-in (previous step)

validrefs(str, r ' + refs1 + r0 ' + refs0, ty, st) ⊦ validrefs(str, r ' + refs1 + r0 ', mkclasstype(`java.lang.Object' .class), st)

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ ¬ validrefs(str, refs, ty, st) → ¬ validrefs(str, refs + refs0, ty, st)
Proof step 10:
¬ validrefs(str, r ' + refs1 + r0 ', ty, st) → ¬ validrefs(str, (r ' + refs1 + r0 ') + refs0, ty, st), validrefs(str, r ' + refs1 + r0 ' + refs0, ty, st) ⊦ validrefs(str, r ' + refs1 + r0 ', mkclasstype(`java.lang.Object' .class), st)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: validrefs-prefix antecedent: succedent: ¬ validrefs(str, refs, ty, st) → ¬ validrefs(str, refs + refs0, ty, st) substlist: [str, refs, ty, st, refs0] → [str, r ' + refs1 + r0 ', ty, st, refs0] add preconditions?: F is rewrite lemma?: F current spec?: T rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r ' + refs1 + r0 ', ty, st, refs0)]]