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Proof step 5 from proof rm-size-in (previous step)

# rmdup(x + y) = # rmdup(y), a ∈ x, ∀ a. a ∈ rmdup(x + y) → a ∈ rmdup(y) ⊦ a ∈ y

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: a

Additional information

Used simplifier rules: rm-in: ⊦ a ∈ rmdup(x + y) ↔ a ∈ x ∨ a ∈ y;%rm-in-01: ⊦ a ∈ rmdup(x) → a ∈ x;%a: ⊦ (x + y) + z = x + y + z; from specification list Used terms: a