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Proof step 13 from proof pathex-subset-equiv (previous step)

st ⊆ st0, validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st0) ⊦ junkref(str, r, st), path∃(str, r, (r ' + refs0) .last, st)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 2:
⊦ path∃(str, r, r, st) ↔ r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st)
Proof step 12:
st ⊆ st0, validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st0) ⊦ refs0 = [], junkref(str, r, st), path∃(str, r, (r ' + refs0) .last, st)

Rule argument

[fma-arg: refs0 = []]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refs + [] = refs], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' .last = r], [CSIMPSEQ : ⊦ ¬ is_valid_ref(str, r, st) ∧ r ≠ jvmref → junkref(str, r, st)])], [EXTRAFMAS : (refs0 = [])]]