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Proof step 13 from proof junkref-put-badfield (previous step)

junkrefs(str, r0 ' + refs0, val .type, st[r0 -- _type, val]), junkrefs(str, r0 ' + refs0, val .type, st) ⊦ junkref(str, r0, st), is_typevalue(st[r0 -- _type]) ∧ is_reftype(st[r0 -- _type] .type)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ junkref(str, r, st) ↔ (∃ refs. refs ≠ [] ∧ refs .first = r ∧ junkrefs(str, refs, st[r -- _type] .type, st))
Proof step 12:
junkrefs(str, r0 ' + refs0, val .type, st[r0 -- _type, val]), junkrefs(str, r0 ' + refs0, val .type, st) ⊦ ∃ refs. refs ≠ [] ∧ refs .first = r0 ∧ junkrefs(str, refs, st[r0 -- _type] .type, st), is_typevalue(st[r0 -- _type]) ∧ is_reftype(st[r0 -- _type] .type)

Rule argument

[crewrite-arg: junkref-def, F, [st, r, str] → [st, r0, str]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r0, str)]]