No prose has been written for this declaration yet. The Lean source and graph data below render
without it.
generate prose now
formal statement (Lean)
93theorem separatelyAdditive_iff_interactionDefect_zero
94 (P : ℝ → ℝ → ℝ) :
95 SeparatelyAdditive P ↔ ∀ u v : ℝ, interactionDefect P u v = 0 :=
proof body
Term-mode proof.
96 ⟨interactionDefect_eq_zero_of_separatelyAdditive,
97 separatelyAdditive_of_interactionDefect_zero⟩
98
99/-- **Equivalence: coupling is non-vanishing interaction defect.** -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (9)
Lean names referenced from this declaration's body.
-
interactionDefect
in IndisputableMonolith.Foundation.BranchSelection
decl_use
-
interactionDefect_eq_zero_of_separatelyAdditive
in IndisputableMonolith.Foundation.BranchSelection
decl_use
-
SeparatelyAdditive
in IndisputableMonolith.Foundation.BranchSelection
decl_use
-
separatelyAdditive_of_interactionDefect_zero
in IndisputableMonolith.Foundation.BranchSelection
decl_use
-
defect
in IndisputableMonolith.Foundation.LawOfExistence
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