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Proof step 45 from proof pathexplus-pathex (previous step)

validrefs(str, r ' + refs + r0 ', mkclasstype(`java.lang.Object' .class), st), is_valid_ref(str, r, st) ⊦ r = r0, r = jvmref, validrefs(str, r ' + refs, mkclasstype(`java.lang.Object' .class), st) ∧ step∃(str, (r ' + refs) .last, r0, st)

User applied rule cut formula

And obtained the following new goals

Proof step 41:
validrefs(str, r ' + refs, mkclasstype(`java.lang.Object' .class), st), validrefs(str, r ' + refs + r0 ', mkclasstype(`java.lang.Object' .class), st), is_valid_ref(str, r, st) ⊦ r = r0, r = jvmref, validrefs(str, r ' + refs, mkclasstype(`java.lang.Object' .class), st) ∧ step∃(str, (r ' + refs) .last, r0, st)
Proof step 44:
validrefs(str, r ' + refs + r0 ', mkclasstype(`java.lang.Object' .class), st), is_valid_ref(str, r, st) ⊦ validrefs(str, r ' + refs, mkclasstype(`java.lang.Object' .class), st), r = r0, r = jvmref, validrefs(str, r ' + refs, mkclasstype(`java.lang.Object' .class), st) ∧ step∃(str, (r ' + refs) .last, r0, st)

Rule argument

[fma-arg: validrefs (str, r ' + refs, mkclasstype(`java.lang.Object' .class), st) ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (validrefs (str, r ' + refs, mkclasstype(`java.lang.Object' .class), st))]]