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formal statement (Lean)
121theorem card_eq : Fintype.card (F2Power D) = 2 ^ D := by
proof body
Term-mode proof.
122 unfold F2Power
123 simp [Fintype.card_bool, Fintype.card_fin]
124
125/-- The number of non-zero vectors in `F2Power D` is `2 ^ D - 1`. -/
used by (7)
From the project-wide theorem graph. These declarations reference this one in their body.
-
nonzero_card
in IndisputableMonolith.Algebra.F2Power
decl_use
-
CoupledAxis
in IndisputableMonolith.Foundation.RSCoupledAxis
decl_use
-
disjoint_sum_card
in IndisputableMonolith.Foundation.RSCoupledAxis
decl_use
-
triple_card
in IndisputableMonolith.Foundation.RSCoupledAxis
decl_use
-
atmosphereAxis
in IndisputableMonolith.Physics.PlanetStrataC2
decl_use
-
earthAxis
in IndisputableMonolith.Physics.PlanetStrataC2
decl_use
-
oceanAxis
in IndisputableMonolith.Physics.PlanetStrataC2
decl_use
depends on (10)
Lean names referenced from this declaration's body.
-
F2Power
in IndisputableMonolith.Algebra.F2Power
decl_use
-
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
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