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Proof step 38 from proof validrefs-delete (previous step)

validrefs(str, r0 ' + acc, ty, st -- r), is_valid_ref(str, r0, st -- r), (st -- r)[r0 -- _type] .type ≤ ty, ∀ str, ty, st, r. validrefs(str, acc, ty, st -- r) → validrefs(str, acc, ty, st) ⊦ r0 = jvmref, validrefs(str, r0 ' + acc, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ r ≠ r0 → (st -- r)[r0 -- sk0] = st[r0 -- sk0]
Proof step 5:
⊦ validrefs(str, r ' + refs, ty, st -- r) ↔ r = jvmref ∧ refs = []
Proof step 37:
r ≠ r0, validrefs(str, r0 ' + acc, ty, st -- r), is_valid_ref(str, r0, st -- r), st[r0 -- _type] .type ≤ ty, ∀ str, ty, st, r. validrefs(str, acc, ty, st -- r) → validrefs(str, acc, ty, st) ⊦ r0 = jvmref, validrefs(str, r0 ' + acc, ty, st)

Rule argument

[speclemmaarg: ,r ≠ r0 → (st -- r)[r0 -- sk0] = st[r0 -- sk0] ,[sk0, r0, r, st] → [_type, r0, r, st] ,F ,storefuns , ,look-del ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (_type, r0, r, st)]]