Theorems · Theorem · ring theory
le_of_fin_surjective
∀ (R : Type u) [inst : Semiring R] [RankCondition R] {n m : ℕ} (f : (Fin n → R) →ₗ[R] Fin m → R),
Function.Surjective ⇑f → m ≤ n- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses Quot.sound
- Assumes
- SemiringRankCondition
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement and proof · cited by 10,215
- RankConditionstatement and proof · cited by 15
- RankCondition.le_of_fin_surjectiveproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Module.Finite.exists_nat_not_surjectiveproof · cited by 1
- card_le_of_surjectiveproof · cited by 1