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Proof step 26 from proof nopathex-update (previous step)

update(r0, fis, st) = update(r0, fis0, st), fis0 ⊆ fis, path∃(str, r, r0, update(r0, fis0, st)) ⊦ junkref(str, r, st), _type ∈ fis, path∃(str, r, r0, st), dups(fis0 .keys)

User applied rule cut formula

And obtained the following new goals

Proof step 7:
_type ∈ fis0, update(r0, fis, st) = update(r0, fis0, st), fis0 ⊆ fis, path∃(str, r, r0, update(r0, fis0, st)) ⊦ junkref(str, r, st), _type ∈ fis, path∃(str, r, r0, st), dups(fis0 .keys)
Proof step 25:
update(r0, fis, st) = update(r0, fis0, st), fis0 ⊆ fis, path∃(str, r, r0, update(r0, fis0, st)) ⊦ _type ∈ fis0, junkref(str, r, st), _type ∈ fis, path∃(str, r, r0, st), dups(fis0 .keys)

Rule argument

[fma-arg: _type ∈ fis0]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (_type ∈ fis0)]]