def
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before
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formal statement (Lean)
70def before (a b : LedgerSnapshot) : Prop := a.tick.index < b.tick.index
proof body
Definition body.
71
72instance : DecidableRel before := fun a b => Nat.decLt a.tick.index b.tick.index
73
74/-! ## Arrow of Time: Defect Monotonicity -/
75
76/-- **Core Principle**: Within a single epoch, the defect is non-increasing.
77 Recognition events reduce defect (move toward the cost minimum).
78 This is what gives time its direction. -/
used by (32)
-
initial_morphism_exists -
duhamelRemainderOfGalerkin_kernel -
galerkin_duhamelKernel_identity -
bbnReactions -
reverse_swaps_endpoints -
Ecosystem -
stepRatio_logSpiral_closed_form -
before_irrefl -
before_transitive -
isBefore -
z_absolute_immune_to_reversal -
activation_at_tick_2 -
chain_activation -
rank -
arrow_of_time -
LedgerSnapshot -
minimal_temporal_resolution -
orientedFromRatio -
neutrino_rung -
mellinKernel_inversion -
norm_cayley_lt_one_of_re_pos -
EthicalAction -
w_boson_count -
isQuantum -
unitary_preserves_norm -
no_signaling_theorem -
reduced_density_unchanged -
remainingEntropy -
independent_strict_refines -
g_ij_1PN