def
definition
def or abbrev
bridge
show as:
view Lean formalization →
formal statement (Lean)
61noncomputable def bridge {N : ℕ} (H : Hypothesis N) : ClassicalBridge.Fluids.CPMBridge (State N) :=
proof body
Definition body.
62 { model := model H
63 defectMeaning := "Galerkin2D defectMass: discrete distance to structured (e.g. divergence-free / low-cost) subspace."
64 energyMeaning := "Galerkin2D energyGap: discrete kinetic energy gap above the structured baseline."
65 testsMeaning := "Galerkin2D tests: supremum of local dispersion / window tests on the discrete state." }
66
67/-!
68## A fully proved (but minimal) concrete instantiation
69
70To reduce the hypothesis layer, we provide an explicit choice of CPM constants and functionals
71for which the A/B/C inequalities are **provable by reflexivity**.
72
73This is not yet the physically meaningful CPM for fluids; it is a useful “base instance” that
74lets downstream modules stop carrying `Hypothesis` when they only need a concrete CPM model.
75-/
76
77/-- A convenient all-ones constant bundle. -/
used by (40)
-
geodesic_iff_hessianEnergy_EL -
newton_first_law -
phiInt_sq -
octaveAlg_id_right -
BridgeData -
RSNSBridgeSpec -
stokesODE -
bridgeNormSq -
hypothesisNormSq -
model -
RSNS2DPipelineHypothesis -
referenceHorizon -
circuitSeparation -
conditional_separation -
ClayBridge -
clay_bridge_theorem -
CompleteModel -
landscape_linear -
alphaLock -
RSUnits -
observable_factors_through_quotient -
c -
hypothesis2 -
H_dAlembert_of_composition -
H_CauchyToExponential -
cproj_eq_two_from_J_normalization -
pressureProxy -
FlightReport -
log_generator_ne_zero -
cosh_rescaling_lemma