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the natural deduction system still admits the structural rules (weakening, contraction, exchange, and cut) with no other modification, but the formalized sequent calculus includes an exchange axiom justified by an inductive definition of list equivalence up to permutation and so requires some modifications to the outlined proofs of admissibility.
The bulk of that plan calls for a streamlined statements beget new conjectures and proofs, such that the colproof that brings all the disparate pieces of the theorem togeth- laborative heart of mathematics stretches back millennia.
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