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formal statement (Lean)
60abbrev MultIndex : Type := Nat.Primes →₀ ℤ
proof body
Definition body.
61
62/-- The positive rational corresponding to a multiplicative index,
63 interpreted as a real number: `toRat v = ∏ p^(v p)`. -/
used by (15)
From the project-wide theorem graph. These declarations reference this one in their body.
-
CostPotentialBound
in IndisputableMonolith.NumberTheory.CostOperatorRegularity
decl_use
-
CostPotentialLinearGrowth
in IndisputableMonolith.NumberTheory.CostOperatorRegularity
decl_use
-
costAt
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
-
costAt_neg_eq
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
-
diagOp_single
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
-
hilbert_polya_candidate_certificate
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
-
involutionOp_single
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
-
shiftInvOp_single
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
-
shiftOp_single
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
-
StateSpace
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
-
toRat
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
-
toRat_add
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
-
toRat_neg
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
-
toRat_pos
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
-
toRat_zero
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
depends on (5)
Lean names referenced from this declaration's body.
-
multiplicative
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
-
toRat
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
as
in IndisputableMonolith.Foundation.SimplicialLedger.ContinuumBridge
decl_use
-
Primes
in IndisputableMonolith.NumberTheory.EulerInstantiation
decl_use
-
toRat
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use