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formal statement (Lean)
72theorem optimal_iff {C₁ : DisplayChannel State Obs₁} {C₂ : DisplayChannel State Obs₂}
73 (heq : QualityEquiv C₁ C₂) (x : State) :
74 C₁.isOptimal x ↔ C₂.isOptimal x :=
proof body
Term-mode proof.
75 ⟨fun h1 y => (heq x y).mp (h1 y), fun h2 y => (heq x y).mpr (h2 y)⟩
76
77end QualityEquiv
78
79end RRF.Core
80end IndisputableMonolith
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
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optimal_transfer
in IndisputableMonolith.RRF.Theorems.OrderPreservation
decl_use
depends on (6)
Lean names referenced from this declaration's body.
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State
in IndisputableMonolith.ClassicalBridge.Fluids.CPM2D
decl_use
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RRF
in IndisputableMonolith.Foundation.Hamiltonian
decl_use
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State
in IndisputableMonolith.NavierStokes.DiscreteVorticity
decl_use
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DisplayChannel
in IndisputableMonolith.RRF.Core.DisplayChannel
decl_use
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isOptimal
in IndisputableMonolith.RRF.Core.DisplayChannel
decl_use
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QualityEquiv
in IndisputableMonolith.RRF.Core.DisplayChannel
decl_use