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Proof step 36 from proof pathexplus-pathex (previous step)

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), validrefs(str, (r ' + refs) .last ' + r0 ', st[(r ' + refs) .last -- _type] .type, st), is_valid_ref(str, (r ' + refs) .last, st) ⊦ r = r0, r = jvmref, step∃(str, (r ' + refs) .last, r0, st)

User applied rule cut formula

And obtained the following new goals

Proof step 35:
(r ' + refs) .last ≠ jvmref, 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), validrefs(str, (r ' + refs) .last ' + r0 ', st[(r ' + refs) .last -- _type] .type, st), is_valid_ref(str, (r ' + refs) .last, st) ⊦ r = r0, r = jvmref, step∃(str, (r ' + refs) .last, r0, st)

Rule argument

[fma-arg: (r ' + refs) .last ≠ jvmref]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_valid_ref(str, jvmref, st)])], [EXTRAFMAS : ((r ' + refs) .last ≠ jvmref)]]