def
definition
def or abbrev
HasInteraction
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48def HasInteraction (F : ℝ → ℝ) : Prop :=
proof body
Definition body.
49 ∃ x y : ℝ, 0 < x ∧ 0 < y ∧
50 F (x * y) + F (x / y) ≠ 2 * F x + 2 * F y
51
52/-! ## The quadratic-log branch fails the gate -/
53
used by (17)
-
analytic_bridge_full -
F_forced_to_Jcost -
full_inevitability -
gates_connected -
P_forced_to_RCL -
entanglement_gate_theorem -
interaction_implies_entangling -
no_interaction_implies_additive -
Fquad_noInteraction -
Jcost_hasInteraction -
Fquad_is_flat -
full_inevitability_triangulated -
gates_consistent -
gates_equivalent_for_Jcost -
interaction_forces_entanglement -
InteractionForcesHyperbolicODE -
Jcost_is_hyperbolic