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Proof step 117 from proof junkrefs-put-nopathexplus-equiv (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 116:
junkrefs(str, r ' + refs0, ty, st), is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty, ∀ val, sk, r0, st, ty, r, str, refs. # refs < # refs0 → (junkrefs(str, r ' + refs, ty, st) → junkrefs(str, r ' + refs, ty, st[r0 -- sk, val]) ∨ sk = _type ∨ path∃+(str, r, r0, st)) ⊦ r = r0, r = jvmref, sk = _type, junkrefs(str, r ' + refs0, ty, st[r0 -- sk, val]), path∃+(str, r, r0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sk ≠ sk0 → (st[r -- sk, val][r0 -- sk0]) = st[r0 -- sk0]], [CSIMPSEQ : ⊦ r ≠ r0 → ( is_valid_ref (str, r0, st[r -- sk, val]) ↔ is_valid_ref(str, r0, st))], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]