Write the elimination rule as an axiom but without using the built-in disjunction, ∨, in the axiom.

The assessment will consist of two parts:

Part 1: seven results that you need to prove in Lean,
Part 2: this is more challenging. You will write the elimination rule as an axiom but without using the built-in disjunction, ∨, in the axiom. Then complete the final proof.

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