Theorems · Theorem · group theory
AddChar.wInner_cWeight_eq_zero_iff_ne
∀ {G : Type u_1} {R : Type u_3} [inst : AddCommGroup G] [inst_1 : RCLike R] {ψ₁ ψ₂ : AddChar G R} [inst_2 : Fintype G],
⟪⇑ψ₁, ⇑ψ₂⟫ₙ_[R] = 0 ↔ ψ₁ ≠ ψ₂- Cited by
- 1 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroupRCLikeFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddCommGroupstatement and proof · cited by 12,871
- Fintypestatement and proof · cited by 7,736
- RCLikestatement and proof · cited by 2,829
- one_ne_zeroproof · cited by 885
- AddCharstatement and proof · cited by 286
- RCLike.wInnerstatement · cited by 33
- RCLike.cWeightstatement · cited by 9
- Ne.ite_eq_right_iffproof · cited by 6
- AddChar.wInner_cWeight_eq_booleproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddChar.linearIndependentproof · cited by 2