Theorems · Theorem · number theory
AddChar.IsPrimitive.of_ne_one
∀ {R' : Type v} [inst : CommMonoid R'] {F : Type u} [inst_1 : Field F] {ψ : AddChar F R'}, ψ ≠ 1 → ψ.IsPrimitiveWhen R is a field F, then a nontrivial additive character is primitive
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- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidField
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- CommMonoidstatement and proof · cited by 2,264
- AddCharstatement and proof · cited by 286
- mul_inv_cancel₀proof · cited by 210
- AddChar.mulShiftproof · cited by 26
- AddChar.IsPrimitivestatement · cited by 22
- AddChar.mulShift_mulShiftproof · cited by 2
- AddChar.mulShift_oneproof · cited by 2
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