Theorems · Theorem · field theory
cardinalMk_algHom
∀ (K : Type u) (V : Type v) (W : Type w) [inst : Field K] [inst_1 : Ring V] [inst_2 : Algebra K V] [FiniteDimensional K V] [inst_4 : Field W] [inst_5 : Algebra K W], Cardinal.mk (V →ₐ[K] W) ≤ ↑(Module.finrank W (V →ₗ[K] W))
- Defined in
- Mathlib.FieldTheory.Fixed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- Ringstatement and proof · cited by 7,463
- Fieldstatement and proof · cited by 7,404
- AlgHomstatement · cited by 3,236
- Cardinalstatement · cited by 2,598
- FiniteDimensionalstatement and proof · cited by 1,854
- Module.finrankstatement · cited by 1,770
- Cardinal.mkstatement · cited by 942
- linearIndependent_toLinearMapproof · cited by 2
- LinearIndependent.cardinalMk_le_finrankproof · cited by 2
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