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formal statement (Lean)
691theorem reciprocal_involution (x : ℝ) :
692 reciprocalAuto (reciprocalAuto x) = x := by
proof body
Term-mode proof.
693 unfold reciprocalAuto
694 exact inv_inv x
695
696/-- **PROVED: The reciprocal map preserves J-cost.** -/
depends on (6)
Lean names referenced from this declaration's body.
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reciprocal
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
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reciprocalAuto
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
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reciprocal
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
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cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
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cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
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map
in IndisputableMonolith.Measurement.RSNative.Core
decl_use