Theorems · Theorem · group theory
AddChar.expect_eq_zero_iff_ne_zero
∀ {G : Type u_1} {R : Type u_3} [inst : AddGroup G] [inst_1 : Fintype G] [inst_2 : Semifield R] [inst_3 : CharZero R]
{ψ : AddChar G R}, (Finset.univ.expect fun x => ψ x) = 0 ↔ ψ ≠ 0- Cited by
- 3 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- AddGroupstatement and proof · cited by 4,410
- Finset.univstatement · cited by 3,473
- CharZerostatement and proof · cited by 932
- one_ne_zeroproof · cited by 885
- NNRatstatement · cited by 523
- Semifieldstatement and proof · cited by 439
- AddCharstatement and proof · cited by 286
- Finset.expectstatement · cited by 116
- Ne.ite_eq_right_iffproof · cited by 6
- AddChar.expect_eq_iteproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- AddChar.wInner_cWeight_eq_booleproof · cited by 2
- AddDissociated.randomisationproof · cited by 0
- AddChar.expect_ne_zero_iff_eq_zeroproof · cited by 0