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Typically one allows pairing and unpairing on the left
x,y,gamma |- T ________________ x&y,gamma |- T
Is multiple conclusions logic the same as allowing, un"pairing" on the right
m |- x||y __________ m |- x;y
If so, then you may want to reference polycategories. — Preceding unsigned comment added by 136.159.49.118 (talk) 02:38, 29 April 2015 (UTC)