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Proof step 7 from proof del1-01 (previous step)

a0 ∈ x0, ∀ y, a. filter(rmdup(x0), y -1l a) = filter(rmdup(x0), y) ∨ a ∈ 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 8:
a0 ∈ x0, ∀ y, a. filter(rmdup(x0), y -1l a) = filter(rmdup(x0), y) ∨ a ∈ x0 ⊦ filter(rmdup(x0), y -1l a) = filter(rmdup(x0), y), a ∈ x0

Proof step 7 from proof del1-01 (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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