Theorems · Theorem · field theory
IsPurelyInseparable.finrank_eq_pow
∀ (F : Type u) (E : Type v) [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] (q : ℕ) [ExpChar F q] [IsPurelyInseparable F E] [FiniteDimensional F E], ∃ n, Module.finrank F E = q ^ n
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 190 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- Top.topproof · cited by 9,680
- Fieldstatement and proof · cited by 7,404
- Polynomialproof · cited by 5,681
- Bot.botproof · cited by 4,720
- le_antisymmproof · cited by 2,068
- FiniteDimensionalstatement and proof · cited by 1,854
- Module.finrankstatement and proof · cited by 1,770
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- LT.lt.ne'proof · cited by 1,417
Cited by2
Results whose statement or proof uses this declaration.
- Algebra.trace_eq_zero_of_not_isSeparableproof · cited by 2
- finInsepDegree_eq_powproof · cited by 0