Theorems · Theorem · group theory
AddChar.card_addChar_le
∀ (G : Type u_1) (R : Type u_3) [inst : AddCommGroup G] [inst_1 : RCLike R] [inst_2 : Fintype G], Fintype.card (AddChar G R) ≤ Fintype.card G
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 233 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- Fintypestatement and proof · cited by 7,736
- RCLikestatement and proof · cited by 2,829
- Fintype.cardstatement and proof · cited by 1,386
- AddCharstatement and proof · cited by 286
- Module.finrank_fintype_fun_eq_cardproof · cited by 14
- LinearIndependent.fintype_card_le_finrankproof · cited by 4
- AddChar.linearIndependentproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddChar.card_eqproof · cited by 2