fact: Definition dep_only_on_start {A : Type} (P : nat -> (nat -> A) -> Prop) := forall (k : nat) (b c : nat -> A), (forall l : nat, l <= k -> b l = c l) -> (P k b) -> (P k c).
imports: Lia Arith Arith.Compare ClassicalChoice ChoiceFacts Libs.Analysis.SubsequencesMetric