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rainbow.math.lemmas.aggplan-balance

Lemmas behind operations-research checks src/rainbow/math/lemmas/aggplan_balance.clj0 definitions, 1 theorems

General lemmas: aggplan balance. The mathematical facts the corresponding checks rest on, each checked by the kernel.

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signed/flow-telescope

TheoremFor all inputsNo axiomsSource

signed/flow-telescope :
  (ft-x ft-i ft-o : ℕ → ℚ) (ft-m : ℕ)
  (ft-h : ∀ (idx : ℕ), ∀ (bound : nat/strict-below idx ft-m), ft-x (data/succ idx) + ft-o idx = ft-x idx + ft-i idx)
  → ft-x ft-m + signed/expr-sum-value ft-o ft-m = ft-x 0 + signed/expr-sum-value ft-i ft-m

+ = signed/add= = signed/equivalent: equality of rational valuesℕ = data/Natℚ = signed/SignedRational