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Proof step 57 from proof junkrefs-put-notin (previous step)

∀ str, ty, st, r, sk, val. (junkrefs(str, acc, ty, st[r -- sk, val]) ↔ junkrefs(str, acc, ty, st)) ∨ r ∈ acc ⊦ r0 = jvmref, junkrefs(str, r0 ' + acc, ty, st[r -- sk, val]) ↔ junkrefs(str, r0 ' + acc, ty, st), r = r0, r ∈ acc

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → junkrefs(str, r ' + refs, ty, st)
Proof step 53:
¬ (r0 ≠ jvmref ∧ (¬ is_valid_ref(str, r0, st) ∨ ¬ st[r0 -- _type] .type ≤ ty)), ∀ str, ty, st, r, sk, val. (junkrefs(str, acc, ty, st[r -- sk, val]) ↔ junkrefs(str, acc, ty, st)) ∨ r ∈ acc ⊦ r0 = jvmref, junkrefs(str, r0 ' + acc, ty, st[r -- sk, val]) ↔ junkrefs(str, r0 ' + acc, ty, st), r = r0, r ∈ acc
Proof step 56:
r0 ≠ jvmref ∧ (¬ is_valid_ref(str, r0, st) ∨ ¬ st[r0 -- _type] .type ≤ ty), ∀ str, ty, st, r, sk, val. (junkrefs(str, acc, ty, st[r -- sk, val]) ↔ junkrefs(str, acc, ty, st)) ∨ r ∈ acc ⊦ r0 = jvmref, junkrefs(str, r0 ' + acc, ty, st[r -- sk, val]) ↔ true, r = r0, r ∈ acc

Rule argument

[crewrite-arg: junkrefs-is-junk , F , [st, ty, refs, r, str] → [st, ty, acc, r0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, acc, r0, str)]]