def
definition
def or abbrev
id
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formal statement (Lean)
62def id (O : Octave) : OctaveMorphism O O where
63 map := fun x => x
proof body
Definition body.
64 preserves_order := fun _ _ h => h
65
66/-- Composition of morphisms. -/
used by (40)
-
intensityRatio -
comp_id -
continuous_bijective_preserves_J_eq_id_or_inv -
CostMorphism -
eq_id_of_map_two_eq_two -
eq_id_or_reciprocal -
equivFinTwo -
id -
id_comp -
reciprocal_comp_reciprocal -
reciprocal_ne_id -
CostAlgHomKappa -
CostAlgPlusHom -
ledgerAlg_id -
monotone_preserves_argmin -
octaveAlg_id -
phiRing_id -
recAlg_id -
recAlg_id_left -
recAlg_id_right -
independent_step_listenNoopProgram -
SimulationHypothesis -
SimulationHypothesis -
dependency_cone -
main_resolution -
RecognitionScenario -
Turing_incomplete -
arborescence_implies_peeling -
peeling_implies_arborescence -
dAlembert_classification