NarrativeBeat
plain-language theorem explainer
NarrativeBeat identifies the carrier for narrative realizations with the natural numbers to encode beat counts from inciting events. Researchers working on the structural equivalence between narrative order and forced Peano objects in the UniversalForcing layer would cite this abbreviation. The definition is a direct one-line alias with no proof content.
Claim. The narrative beat count is formalized as the set of natural numbers $mathbb{N}$.
background
The NarrativeRealization module provides a lightweight carrier for narrative order. Its module documentation states that this formalizes the structural claim that narrative order carries the same forced Peano object. NarrativeBeat is defined as Nat so that downstream constructions can treat beat counts as the underlying type for comparison and cost.
proof idea
One-line abbreviation that directly sets NarrativeBeat to the type of natural numbers.
why it matters
This abbreviation supplies the Carrier field for the narrativeRealization instance of LogicRealization, which in turn feeds narrativeCost, narrativeInterpret, and narrativeRealization. It closes the structural link between narrative beats and the forced Peano object in the forcing chain, consistent with the eight-tick octave and self-similar fixed-point constructions.
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