theorem proved term proof

`composite_resolutionCell`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

  94theorem composite_resolutionCell (r₁ : Recognizer C E₁) (r₂ : Recognizer C E₂) (c : C) :
  95    ResolutionCell (r₁ ⊗ r₂) c = ResolutionCell r₁ c ∩ ResolutionCell r₂ c := by

proof body

Term-mode proof.

  96  ext c'
  97  simp only [ResolutionCell, Set.mem_setOf_eq, Set.mem_inter_iff,
  98             composite_indistinguishable_iff]
  99
 100/-- Composite resolution cells are subsets of either component cell -/

used by (3)

From the project-wide theorem graph. These declarations reference this one in their body.

composite_cell_subset_left in IndisputableMonolith.RecogGeom.Composition decl_use
composite_cell_subset_right in IndisputableMonolith.RecogGeom.Composition decl_use
composition_status in IndisputableMonolith.RecogGeom.Composition decl_use

depends on (7)

Lean names referenced from this declaration's body.

of in IndisputableMonolith.Astrophysics.NucleosynthesisTiers decl_use
of in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization decl_use
of in IndisputableMonolith.Foundation.PhiForcingDerived decl_use
of in IndisputableMonolith.Foundation.SpectralEmergence decl_use
of in IndisputableMonolith.Information.PhysicsComplexityStructure decl_use
composite_indistinguishable_iff in IndisputableMonolith.RecogGeom.Composition decl_use
ResolutionCell in IndisputableMonolith.RecogGeom.Indistinguishable decl_use