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Proof step 9 from proof del1-01 (previous step)

∀ y, a. filter(rmdup(x0), y -1l a) = filter(rmdup(x0), y) ∨ a ∈ x0 ⊦ a0 ∈ x0, filter((a0 ∈ x0 ⊃ rmdup(x0);a0 ' + rmdup(x0)), y -1l a) = filter((a0 ∈ x0 ⊃ rmdup(x0);a0 ' + rmdup(x0)), y), a = a0, a ∈ x0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
∀ y, a. filter(rmdup(x0), y -1l a) = filter(rmdup(x0), y) ∨ a ∈ x0 ⊦ a = a0, filter(a0 ' + rmdup(x0), y -1l a) = filter(a0 ' + rmdup(x0), y), a0 ∈ x0, a ∈ x0

Proof step 9 from proof del1-01 (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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