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Proof step 3 from proof Data-notin-other-3 (previous step)

d0 ∈ st[a, d1][b, d2][c, d] ⊦ d = d0, d0 = d1, d0 = d2, d0 ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: Data-notin-other-2 seq: ⊦ d0 ≠ d1 ∧ d0 ≠ d2 ∧ ¬ d0 ∈ st → ¬ d0 ∈ st[a, d1][b, d2] subst: [d2, b, d1, a, st, d0] → [d, c, d2, b, st[a, d1], d0] flags: rewrite, current

Additional information

[Concretesimprules((Csimpnamedseq(Data-notin-other,,, ⊦ d0 ≠ d1 ∧ ¬ d0 ∈ st → ¬ d0 ∈ st[a, d1]))), Extraterms((dcd2bst[a, d1]d0))]