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Theorems · Theorem · number theory

legendreSym.at_one

∀ (p : ℕ) [inst : Fact (Nat.Prime p)], legendreSym p 1 = 1
Defined in
Mathlib.NumberTheory.LegendreSymbol.Basic
Cited by
2 results in Mathlib
Foundations
Depth 146 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Fact
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

jacobiSym.one_left · cited by 5jacobiSym.one_leftlegendreSym.hom · cited by 1legendreSym.homlegendreSym_mersenne_three · cited by 1legendreSym_mersenne_threeDFunLike.coe · cited by 62936DFunLike.coeFact · cited by 2726FactNat.Prime · cited by 2059Nat.PrimeZMod · cited by 1024ZModInt.cast_one · cited by 371Int.cast_onelegendreSym · cited by 51legendreSymquadraticChar · cited by 34quadraticCharMulChar.map_one · cited by 3MulChar.map_onelegendreSym.at_oneCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.