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formal statement (Lean)
87noncomputable def equivReal : LogicReal ≃ ℝ where
88 toFun := toReal
proof body
Definition body.
89 invFun := fromReal
90 left_inv := fromReal_toReal
91 right_inv := toReal_fromReal
92
93/-- Equality transfer: recovered real equality is exactly equality after
94transport to Mathlib's real line. -/
depends on (10)
Lean names referenced from this declaration's body.
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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fromReal
in IndisputableMonolith.Foundation.RealsFromLogic
decl_use
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fromReal_toReal
in IndisputableMonolith.Foundation.RealsFromLogic
decl_use
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LogicReal
in IndisputableMonolith.Foundation.RealsFromLogic
decl_use
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toReal
in IndisputableMonolith.Foundation.RealsFromLogic
decl_use
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toReal_fromReal
in IndisputableMonolith.Foundation.RealsFromLogic
decl_use
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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toReal
in IndisputableMonolith.Support.RungFractions
decl_use