structure
definition
def or abbrev
Octave
show as:
view Lean formalization →
formal statement (Lean)
29structure Octave where
30 /-- The state space at this octave. -/
31 State : Type*
32 /-- The strain functional (J-cost). -/
33 strain : StrainFunctional State
34 /-- Display channels available at this octave. -/
35 channels : ChannelBundle State
36 /-- Non-emptiness: at least one state exists. -/
37 inhabited : Nonempty State
38
39namespace Octave
40
41variable (O : Octave)
42
43/-- The equilibrium states of an octave. -/
used by (32)
-
justMajorThird -
OctaveLoop -
resonance_increases_stability -
ledgerConservationRatio -
nontriviality_from_cost -
D_is_fib_4 -
isMagic -
comp -
id -
OctaveEquiv -
OctaveFamily -
OctaveMorphism -
preserves_equilibria -
refl -
symm -
wellPosed -
thisFile -
models_exist -
quadratic1DOctave -
quadratic1D_zero_valid -
trivialModel_consistent -
trivialOctave -
comp_preserves_order -
equiv_equilibria_iff -
samePattern -
samePattern_refl -
samePattern_symm -
jcost_reciprocal_symmetry -
phi_pow_fibonacci_sum_le -
qg_octave_cert