Theorems · Theorem · field theory
finrank_algHom
∀ (K : Type u) (V : Type v) [inst : Field K] [inst_1 : Field V] [inst_2 : Algebra K V] [inst_3 : FiniteDimensional K V], Fintype.card (V →ₐ[K] V) ≤ Module.finrank V (V →ₗ[K] V)
- Defined in
- Mathlib.FieldTheory.Fixed
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- RingHom.idstatement · cited by 18,349
- Algebrastatement and proof · cited by 11,388
- LinearMapstatement · cited by 10,215
- Fieldstatement and proof · cited by 7,404
- AlgHomstatement · cited by 3,236
- FiniteDimensionalstatement and proof · cited by 1,854
- Module.finrankstatement · cited by 1,770
- Fintype.cardstatement · cited by 1,386
- LinearIndependent.fintype_card_le_finrankproof · cited by 4
- linearIndependent_toLinearMapproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- FixedPoints.finrank_eq_cardproof · cited by 3
- FixedPoints.toAlgHom_bijectiveproof · cited by 1
- AlgHom.card_leproof · cited by 1