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Proof step 17 from proof junkrefs-union-disjoint (previous step)

st1 .refs ∩ st .refs = ∅, r ∈ st1, junkrefs(str, r ', ty, st1 ∪ st) ⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st1) ∨ ¬ st1[r -- _type] .type ≤ ty)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ junkrefs(str, r ', ty, st) ↔ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty)
Proof step 16:
st1 .refs ∩ st .refs = ∅, r ∈ st1, r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st1 ∪ st) ∨ ¬ (st1 ∪ st)[r -- _type] .type ≤ ty) ⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st1) ∨ ¬ st1[r -- _type] .type ≤ ty)

Rule argument

[crewrite-arg: junkrefs-one , F , [st, ty, r, str] → [st1 ∪ st, ty, r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1 ∪ st, ty, r, str)]]