pith. sign in
module module high

IndisputableMonolith.Foundation.RSCoupledAxis

show as:
view Lean formalization →

The module defines the five RS primitives for tagging domain axes in the Recognition Science framework. Planetary structure models cite it when decomposing a system into three independent 5-stratum stacks. This is a definition module with no proofs.

claimDefines five recognition science primitives for tagging domain axes, consisting of the coupled axis, the independent triple, and the disjoint sum of three components.

background

This module belongs to the Foundation layer and imports only Mathlib. It introduces the five primitives that tag domain axes, including the coupled axis for paired structures, the independent triple for three-way independence, and the disjoint sum for overlap-free combination. These definitions precede application of the recognition composition law and phi-ladder constructions in downstream strata models.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

This module supplies the axis-tagging primitives that enable the C2 planetary 15-stratum direct sum. The downstream result models the planet as three independent 5-strata stacks for atmosphere, solid Earth, and ocean. It provides the foundational tagging step before the eight-tick octave and spatial dimension constraints are applied.

scope and limits

used by (1)

From the project-wide theorem graph. These declarations reference this one in their body.

declarations in this module (11)