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Proof step 11 from proof butmin-ins (previous step)

s.max ∈ s, s.min ∈ s, s.min < a ⊦ # s = 0, (s ++ a) -- s.min = (s -- s.min) ++ a, s = ∅, a ∈ s

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
⊦ a ≠ b → (s ++ b) -- a = (s -- a) ++ b

Rule argument

spec: set-union inst: name: delsw seq: ⊦ a ≠ b → (s ++ b) -- a = (s -- a) ++ b subst: [a, b, s] → [s.min, a, s] flags: rewrite

Additional information

Used terms: s.min, a, s