Theorems · Theorem · field theory
IsPurelyInseparable.sepDegree_eq_one
∀ (F : Type u) (E : Type v) [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] [IsPurelyInseparable F E], Field.sepDegree F E = 1
A purely inseparable extension has separable degree one.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- Cardinalstatement and proof · cited by 2,598
- IntermediateFieldproof · cited by 988
- Module.rankproof · cited by 496
- IsPurelyInseparablestatement and proof · cited by 84
- Field.sepDegreestatement · cited by 24
- IntermediateField.rank_botproof · cited by 5
- separableClosure.eq_bot_of_isPurelyInseparableproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.