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Theorems · Theorem · number theory

quadraticChar_eq_zero_iff

∀ {F : Type u_1} [inst : Field F] [inst_1 : Fintype F] [inst_2 : DecidableEq F] {a : F}, (quadraticChar F) a = 0 ↔ a = 0

The value of the quadratic character on a is zero iff a = 0.

Defined in
Mathlib.NumberTheory.LegendreSymbol.QuadraticChar.Basic
Cited by
1 results in Mathlib
Foundations
Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFintypeDecidableEq

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