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Proof step 92 from proof pathex-put-nopathex (previous step)

¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st[r0 -- sk, val]) ∨ ¬ (st[r0 -- sk, val][r -- _type]) .type ≤ st[r -- _type] .type)), validrefs(str, r ' + refs0, st[r -- _type] .type, st[r0 -- sk, val]), ∀ val, sk, r0, st, r, str, refs. # refs < # refs0 → ( validrefs(str, r ' + refs, st[r -- _type] .type, st[r0 -- sk, val]) → sk = _type ∨ path∃(str, r, r0, st) ∨ junkref(str, r, st) ∨ path∃(str, r, (r ' + refs) .last, st)) ⊦ sk = _type, path∃(str, r, (r ' + refs0) .last, st), junkref(str, r, st), path∃(str, r, r0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 91:
validrefs(str, r ' + refs0, st[r -- _type] .type, st[r0 -- sk, val]), ∀ val, sk, r0, st, r, str, refs. # refs < # refs0 → ( validrefs(str, r ' + refs, st[r -- _type] .type, st[r0 -- sk, val]) → sk = _type ∨ path∃(str, r, r0, st) ∨ junkref(str, r, st) ∨ path∃(str, r, (r ' + refs) .last, st)) ⊦ sk = _type, path∃(str, r, (r ' + refs0) .last, st), junkref(str, r, st), path∃(str, r, r0, st), r ≠ jvmref ∧ ¬ is_valid_ref(str, r, st[r0 -- sk, val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ty ≤ ty], [CSIMPSEQ : ⊦ sk ≠ sk0 → (st[r -- sk, val][r0 -- sk0]) = st[r0 -- sk0]])]]