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formal statement (Lean)
33def chi8 (n : ℕ) : ℤ :=
proof body
Definition body.
34 match n % 8 with
35 | 0 | 2 | 4 | 6 => 0
36 | 1 | 7 => 1
37 | 3 | 5 => -1
38 | _ => 0
39
used by (23)
From the project-wide theorem graph. These declarations reference this one in their body.
-
chi8_eq_zero_iff_even
in IndisputableMonolith.NumberTheory.Primes.Modular
decl_use
-
chi8_mod0
in IndisputableMonolith.NumberTheory.Primes.Modular
decl_use
-
chi8_mod1
in IndisputableMonolith.NumberTheory.Primes.Modular
decl_use
-
chi8_mod2
in IndisputableMonolith.NumberTheory.Primes.Modular
decl_use
-
chi8_mod3
in IndisputableMonolith.NumberTheory.Primes.Modular
decl_use
-
chi8_mod4
in IndisputableMonolith.NumberTheory.Primes.Modular
decl_use
-
chi8_mod5
in IndisputableMonolith.NumberTheory.Primes.Modular
decl_use
-
chi8_mod6
in IndisputableMonolith.NumberTheory.Primes.Modular
decl_use
-
chi8_mod7
in IndisputableMonolith.NumberTheory.Primes.Modular
decl_use
-
chi8_ne_zero_iff_odd
in IndisputableMonolith.NumberTheory.Primes.Modular
decl_use
-
chi8_periodic
in IndisputableMonolith.NumberTheory.Primes.Modular
decl_use
-
chi8
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
-
chi8_abs_le_one
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
-
chi8_five
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
-
chi8_one
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
-
chi8_periodic
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
-
chi8_seven
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
-
chi8_three
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
-
chi8_two
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
-
chi8_zero
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
-
recognition_theta_certificate
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
-
recognitionThetaTerm
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
-
recognitionThetaTerm_even
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
depends on (1)
Lean names referenced from this declaration's body.
-
chi8
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use