recognition /
Foundation /
Foundation.BranchSelection /
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formal statement (Lean)
173 theorem branch_selection (c : ℝ)
174 (hCoupling : IsCouplingCombiner (RCLCombiner c)) :
175 c ≠ 0 :=
proof body
Term-mode proof.
176 (RCLCombiner_isCoupling_iff c).mp hCoupling
177
178 /-- The contrapositive: if `c = 0`, the RCL combiner is not coupling. The
179 additive branch fails the strengthened (L4*). -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (7)
Lean names referenced from this declaration's body.
IsCouplingCombiner
in IndisputableMonolith.Foundation.BranchSelection
decl_use
RCLCombiner
in IndisputableMonolith.Foundation.BranchSelection
decl_use
RCLCombiner_isCoupling_iff
in IndisputableMonolith.Foundation.BranchSelection
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use