IndisputableMonolith.CrossDomain.PlanetStratification
The PlanetStratification module unifies atmospheric, earth, and oceanic layers into a single 15-element PlanetStratum. It introduces three layer types together with their count functions and the corresponding injections, each landing in a 5-element proper subset. The module records that none of the injections is surjective.
claimLet $S$ be the 15-element set PlanetStratum. Define injections $i_A: A_5 hookrightarrow S$, $i_E: E_5 hookrightarrow S$, $i_O: O_5 hookrightarrow S$ where $A_5$, $E_5$, $O_5$ are the atmospheric, earth, and ocean layer sets. Each image is a proper subset of $S$ with cardinality 5.
background
CrossDomain.PlanetStratification sits inside the Recognition Science mirror and supplies concrete layer types for planetary applications of the framework. It defines AtmosphericLayer, EarthLayer, OceanLayer as source sets, PlanetStratum as the common codomain, and the three count constants atmoCount, earthCount, oceanCount. The module also records planetStratumCount = 15 and the three proper-subset statements atmo_is_proper_subset, earth_is_proper_subset, ocean_is_proper_subset. The setting inherits the three-dimensional structure (D = 3) and eight-tick octave from the upstream forcing chain.
proof idea
This is a definition module, no proofs. It declares the layer types, the PlanetStratum type, the count constants, the three injection maps, and the proper-subset predicates via the sibling declarations listed in the module header.
why it matters in Recognition Science
The module supplies the stratification primitives used by the sibling declaration planetStratum_three_D. It thereby realizes the D = 3 spatial dimension of the T8 step of the unified forcing chain inside a concrete cross-domain setting. No downstream theorems are recorded yet.
scope and limits
- Does not derive the layer cardinalities from the phi-ladder.
- Does not supply dynamical equations for layer interactions.
- Does not claim the injections are surjective.
- Does not assign physical labels to the 15 strata.
declarations in this module (14)
-
inductive
AtmosphericLayer -
inductive
EarthLayer -
inductive
OceanLayer -
theorem
atmoCount -
theorem
earthCount -
theorem
oceanCount -
abbrev
PlanetStratum -
theorem
planetStratumCount -
theorem
atmo_is_proper_subset -
theorem
earth_is_proper_subset -
theorem
ocean_is_proper_subset -
theorem
planetStratum_three_D -
structure
PlanetStratificationCert -
def
planetStratificationCert