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Proof step 41 from proof junkrefs-put-array-norefval (previous step)

okval(val, st[r1 -- _type] .type .type), junkrefs(str, r ' + acc, ty, st[r1 -- i ', val]), ∀ val, st, r1, str, ty, i. okval(val, st[r1 -- _type] .type .type) ∧ junkrefs(str, acc, ty, st[r1 -- i ', val]) → is_referencevalue(val) ∨ junkrefs(str, acc, ty, st) ⊦ is_referencevalue(val), junkrefs(str, r ' + acc, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → junkrefs(str, r ' + refs, ty, st)
Proof step 40:
¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty)), okval(val, st[r1 -- _type] .type .type), junkrefs(str, r ' + acc, ty, st[r1 -- i ', val]), ∀ val, st, r1, str, ty, i. okval(val, st[r1 -- _type] .type .type) ∧ junkrefs(str, acc, ty, st[r1 -- i ', val]) → is_referencevalue(val) ∨ junkrefs(str, acc, ty, st) ⊦ is_referencevalue(val), junkrefs(str, r ' + acc, ty, st)

Rule argument

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

Additional information

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