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Proof step 34 from proof junkref-primarray-level-01 (previous step)

junkrefs(str, r ' + refs0, st[r -- _type] .type, st), ∀ str1, st, r, str, refs. # refs < # refs0 → (junkrefs(str, r ' + refs, st[r -- _type] .type, st) → has_classtype(st[r -- _type] .type) ∨ junkrefs(str1, r ' + refs, st[r -- _type] .type, st)) ⊦ junkrefs(str1, r ' + refs0, st[r -- _type] .type, st), has_classtype(st[r -- _type] .type)

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 33:
¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str1, r, st) ∨ ¬ st[r -- _type] .type ≤ st[r -- _type] .type)), junkrefs(str, r ' + refs0, st[r -- _type] .type, st), ∀ str1, st, r, str, refs. # refs < # refs0 → (junkrefs(str, r ' + refs, st[r -- _type] .type, st) → has_classtype(st[r -- _type] .type) ∨ junkrefs(str1, r ' + refs, st[r -- _type] .type, st)) ⊦ junkrefs(str1, r ' + refs0, st[r -- _type] .type, st), has_classtype(st[r -- _type] .type)

Rule argument

[crewrite-arg: junkrefs-is-junk , F , [st, ty, refs, r, str] → [st, st[r -- _type] .type, refs0, r, str1] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, st[r -- _type] .type, refs0, r, str1)]]