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Proof step 10 from proof ordered-ex-divide-lels (previous step)

b = a0, ordered≤(a0 ' + y + z), a < b, ∀ b. b ∈ z → a < b, ∀ b. b ∈ y → b < a ∨ b = a, b = a0 ∨ b ∈ y ⊦ b = a, ∃ y0, z0. a0 ' + y + z = y0 + z0 ∧ (∀ b. b ∈ y0 → b < a ∨ b = a) ∧ (∀ b. b ∈ z0 → a < b)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
ordered≤(a0 ' + y + z), a < a0, ∀ b. b ∈ z → a < b, ∀ b. b ∈ y → b < a ∨ b = a ⊦ a0 = a, ∃ y0, z0. a0 ' + y + z = y0 + z0 ∧ (∀ b. b ∈ y0 → b < a ∨ b = a) ∧ (∀ b. b ∈ z0 → a < b)

Proof step 10 from proof ordered-ex-divide-lels (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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