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formal statement (Lean)
49theorem truth_eval_implies_totality
50 (C : ComparisonOperator)
51 (hT : TruthEvaluableComparison C) :
52 ExcludedMiddle C :=
proof body
Term-mode proof.
53 hT.determinate_continuous
54
55/-- Truth-evaluability of composite comparison-statements gives finite pairwise
56composition. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (9)
Lean names referenced from this declaration's body.
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of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
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ComparisonOperator
in IndisputableMonolith.Foundation.LogicAsFunctionalEquation
decl_use
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ExcludedMiddle
in IndisputableMonolith.Foundation.LogicAsFunctionalEquation
decl_use
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TruthEvaluableComparison
in IndisputableMonolith.Foundation.LogicAsFunctionalEquation.RealityStructure
decl_use
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of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
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of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
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comparison
in IndisputableMonolith.StandardModel.StrongCP
decl_use