Theorems · Theorem · field theory
AlgHom.card_le
∀ {F : Type u_2} {K : Type u_3} [inst : Field F] [inst_1 : Field K] [inst_2 : Algebra F K]
[inst_3 : FiniteDimensional F K], Fintype.card (K →ₐ[F] K) ≤ Module.finrank F K- Defined in
- Mathlib.FieldTheory.Fixed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Algebrastatement and proof · cited by 11,388
- 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
- Module.finrank_linearMap_selfproof · cited by 3
- finrank_algHomproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AlgEquiv.card_leproof · cited by 0