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formal statement (Lean)
62theorem compose_left_id (a : FrequencyRatio) :
63 strictMusicRealization.compose strictMusicRealization.one a = a := by
proof body
Term-mode proof.
64 show (⟨1 * a.1, _⟩ : FrequencyRatio) = a
65 apply Subtype.ext
66 simp
67
68end MusicRich
69
70/-! ## Biology -/
71
72namespace BiologyRich
73
74open Biology
75
depends on (7)
Lean names referenced from this declaration's body.
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compose
in IndisputableMonolith.Ethics.VirtueComposition
decl_use
-
one
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
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one
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
FrequencyRatio
in IndisputableMonolith.Foundation.UniversalForcing.Strict.Music
decl_use
-
strictMusicRealization
in IndisputableMonolith.Foundation.UniversalForcing.Strict.Music
decl_use
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one
in IndisputableMonolith.QFT.SpinStatistics
decl_use
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one
in IndisputableMonolith.RecogSpec.Core
decl_use