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Proof step 3 from proof update-refs (previous step)

r ∈ st, ∀ r, st. r ∈ st → update(r, fis0, st) .refs = st .refs ⊦ update(r, fis0, st) .refs ++ r = st .refs

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 2, [extquanttermlist: (r, st)abort:F, discard:F, computed:T]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ rset ++ r = rset ↔ r ∈ rset], [CSIMPSEQ : ⊦ ¬ r ∈ st .refs → ¬ r ∈ st])], [EXTRATERMS : (r, st)]]