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Proof step 3 from proof pathex-subset-02 (previous step)

st ⊆ st0, path∃(str, r, r1, st) ⊦ junkref(str, r, st), path∃(str, r, r1, st0), validref(str, r, st[r -- _type] .type, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ validref(str, r, st[r -- _type] .type, st) ↔ ¬ junkref(str, r, st)

Rule argument

[speclemmaarg: ,validref(str, r, st[r -- _type] .type, st) ↔ ¬ junkref(str, r, st) ,[st, r, str] → [st, r, str] ,F ,junkrefs , ,validref-runtimetype ]

Additional information

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