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Proof step 7 from proof validrefs-delcycle-01 (previous step)

validrefs(str, (r ' + refs0) + r ' + refs1, ty, st), validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ validrefs(str, r ' + refs1, 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) → ¬ validrefs(str, r ' + refs, ty, st)
Proof step 6:
¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty)), validrefs(str, (r ' + refs0) + r ' + refs1, ty, st), validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ validrefs(str, r ' + refs1, ty, st)

Rule argument

[crewrite-arg: validrefs-is-junk , F , [st, ty, refs, r, str] → [st, ty, refs0 + r ' + refs1, r, str] ]

Additional information

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