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)
92theorem winding_additive (w₁ w₂ : WindingData) (hw : w₁.center = w₂.center)
93 (hr : w₁.radius = w₂.radius) :
94 ∃ w : WindingData, w.charge = w₁.charge + w₂.charge ∧
95 w.center = w₁.center ∧ w.radius = w₁.radius :=
proof body
Term-mode proof.
96 ⟨{ center := w₁.center, radius := w₁.radius, radius_pos := w₁.radius_pos,
97 charge := w₁.charge + w₂.charge }, rfl, rfl, rfl⟩
98
99/-- The winding of a reciprocal negates the charge. -/
used by (4)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (11)
Lean names referenced from this declaration's body.
-
reciprocal
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
-
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
-
radius
in IndisputableMonolith.Complexity.CellularAutomata
decl_use
-
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
-
reciprocal
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
-
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
-
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
-
winding_additive
in IndisputableMonolith.Foundation.WindingCharges
decl_use
-
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
-
winding
in IndisputableMonolith.Masses.Ribbons
decl_use
-
WindingData
in IndisputableMonolith.NumberTheory.ContourWinding
decl_use