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formal statement (Lean)
41theorem truth_eval_implies_non_contradiction
42 (C : ComparisonOperator)
43 (hT : TruthEvaluableComparison C) :
44 NonContradiction C :=
proof body
Term-mode proof.
45 hT.reorder_single_valued
46
47/-- Truth-evaluability of every positive pair gives totality/continuity on the
48open positive quadrant. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (8)
Lean names referenced from this declaration's body.
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of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
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ComparisonOperator
in IndisputableMonolith.Foundation.LogicAsFunctionalEquation
decl_use
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NonContradiction
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
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of
in IndisputableMonolith.Foundation.SpectralEmergence
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
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