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Proof step 55 from proof validrefs-put-statfield (previous step)

validrefs(str, r ' + acc, ty, st[jvmref -- sk, val]), ¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty, ∀ str, ty, st, sk, val. validrefs(str, acc, ty, st[jvmref -- sk, val]) ↔ validrefs(str, acc, ty, st) ⊦ r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 54:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → ¬ validrefs(str, r ' + refs, ty, st)

Rule argument

[crewrite-arg: validrefs-is-junk , F , [st, ty, refs, r, str] → [st[jvmref -- sk, val], ty, acc, r, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → ( is_valid_ref (str, r0, st[r -- sk, val]) ↔ is_valid_ref(str, r0, st))], [CSIMPSEQ : ⊦ r ≠ r0 → (st[r0 -- sk0, val][r -- sk]) = st[r -- sk]])], [EXTRATERMS : (st[jvmref -- sk, val], ty, acc, r, str)]]