Theorems · Theorem · field theory
IsPurelyInseparable.finInsepDegree_eq
∀ (F : Type u) (E : Type v) [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] [IsPurelyInseparable F E], Field.finInsepDegree F E = Module.finrank F E
A purely inseparable extension has finite inseparable degree equal to degree.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 197 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.
- DFunLike.coeproof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Module.finrankstatement · cited by 1,770
- Cardinal.toNatproof · cited by 153
- IsPurelyInseparablestatement and proof · cited by 84
- Field.finInsepDegreestatement · cited by 15
- IsPurelyInseparable.insepDegree_eqproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.