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Proof step 116 from proof junkrefs-union-disjoint (previous step)

st1 .refs ∩ st .refs = ∅, junkrefs(str, r ' + r0 ' + acc, ty, st1 ∪ st), r ∈ st1, ∀ st1, st, r, str, ty. st1 .refs ∩ st .refs = ∅ ∧ r ∈ st1 ∧ junkrefs(str, r ' + acc, ty, st1 ∪ st) → junkrefs(str, r ' + acc, ty, st1) ⊦ r = jvmref, junkrefs(str, r ' + r0 ' + acc, ty, st1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 21:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → junkrefs(str, r ' + refs, ty, st)
Proof step 115:
¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st1) ∨ ¬ st1[r -- _type] .type ≤ ty)), st1 .refs ∩ st .refs = ∅, junkrefs(str, r ' + r0 ' + acc, ty, st1 ∪ st), r ∈ st1, ∀ st1, st, r, str, ty. st1 .refs ∩ st .refs = ∅ ∧ r ∈ st1 ∧ junkrefs(str, r ' + acc, ty, st1 ∪ st) → junkrefs(str, r ' + acc, ty, st1) ⊦ r = jvmref, junkrefs(str, r ' + r0 ' + acc, ty, st1)

Rule argument

[crewrite-arg: junkrefs-is-junk , F , [st, ty, refs, r, str] → [st1, ty, r0 ' + acc, r, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (st1, ty, r0 ' + acc, r, str)]]