lemma
proved
term proof
octantSystems_length
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)
67lemma octantSystems_length (n level octant : Nat) :
68 (octantSystems n level octant).length = 2 := rfl
proof body
Term-mode proof.
69
70/-- At each level, the number of systems is at most 2 * (n + 1).
71 Proof: each of min(8^level, n+1) octants contributes 2 systems. -/
depends on (10)
Lean names referenced from this declaration's body.
-
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
-
octantSystems
in IndisputableMonolith.Complexity.SAT.GeoFamily
decl_use
-
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
-
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
-
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
-
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
-
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
-
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
-
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use