ORLib#8
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Introduce ORLib.lean as a new Lean library housing reusable operations-research formalizations. The first contribution is an abstract flow-decomposition theorem stated and proved over an arbitrary finite directed graph with rank witness, source/sink Finsets, and non-negative flow valued in any Ring + LinearOrder + IsStrictOrderedRing. The library is intended to be applied by reformulation proofs in the dataset whose backward direction requires decomposing aggregate flows into per-entity paths (e.g., p13, p20).
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Introduce ORLib.lean as a new Lean library housing reusable operations-research formalizations. The first contribution is an abstract flow-decomposition theorem stated and proved over an arbitrary finite directed graph with rank witness, source/sink Finsets, and non-negative flow valued in any Ring + LinearOrder + IsStrictOrderedRing.
The library is intended to be applied by reformulation proofs in the dataset whose backward direction requires decomposing aggregate flows into per-entity paths (e.g., p13, p20).