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formal statement (Lean)
102theorem costAt_neg_eq (v : MultIndex) : costAt (-v) = costAt v := by
proof body
Term-mode proof.
103 unfold costAt
104 rw [toRat_neg]
105 exact (Jcost_symm (toRat_pos v)).symm
106
107/-! ## The state space: free ℝ-module on `MultIndex` -/
108
109/-- The pre-Hilbert space: free `ℝ`-module on `MultIndex`. -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (7)
Lean names referenced from this declaration's body.
-
Jcost_symm
in IndisputableMonolith.Cost
decl_use
-
Jcost_symm
in IndisputableMonolith.Cost.JcostCore
decl_use
-
toRat_neg
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
-
costAt
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
-
MultIndex
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
-
toRat_neg
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
-
toRat_pos
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use