Theorems · Theorem · field theory
AlgEquiv.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 Gal(K/F) ≤ Module.finrank F K- Defined in
- Mathlib.FieldTheory.Fixed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- Equiv.symmproof · cited by 3,681
- FiniteDimensionalstatement and proof · cited by 1,854
- Module.finrankstatement · cited by 1,770
- AlgEquivstatement · cited by 1,681
- Fintype.cardstatement · cited by 1,386
- MulEquiv.toEquivproof · cited by 126
- Fintype.ofEquiv_cardproof · cited by 16
- algEquivEquivAlgHomproof · cited by 3
- AlgHom.card_leproof · cited by 1
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