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Proof step 13 from proof junkref-update (previous step)

junkref(str, r, update(r0, fv ' + fis0, st)), ∀ str0, r1, r2, st0. junkref(str0, r1, update(r2, fis0, st0)) → path∃(str0, r1, r2, st0) ∨ junkref(str0, r1, st0) ⊦ junkref(str, r, st), path∃(str, r, r0, st), _type ∈ fv ', _type ∈ fis0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ update(r, fv ' + fis, st) = (update(r, fis, st)[r -- fv .1, fv .2])
Proof step 12:
junkref(str, r, update(r0, fis0, st)[r0 -- fv .1, fv .2]), ∀ str0, r1, r2, st0. junkref(str0, r1, update(r2, fis0, st0)) → path∃(str0, r1, r2, st0) ∨ junkref(str0, r1, st0) ⊦ junkref(str, r, st), path∃(str, r, r0, st), _type ∈ fv ', _type ∈ fis0

Rule argument

[speclemmaarg: ,update(r, fv ' + fis, st) = (update(r, fis, st)[r -- fv .1, fv .2]) ,[st, fis, fv, r] → [st, fis0, fv, r0] ,F ,okfuns , ,update-rec-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, fis0, fv, r0)]]