Theorems · Theorem · field theory
IsPurelyInseparable.elemExponent_eq_zero_of_charZero
∀ (K : Type u_2) {L : Type u_3} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L]
[inst_3 : IsPurelyInseparable K L] (a : L) [CharZero K], IsPurelyInseparable.elemExponent K a = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- CharZerostatement and proof · cited by 932
- IsPurelyInseparablestatement and proof · cited by 84
- IsPurelyInseparable.elemExponentstatement · cited by 15
- IsPurelyInseparable.surjective_algebraMap_of_isSeparableproof · cited by 6
- IsPurelyInseparable.elemExponent_eq_zero_of_mem_rangeproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsPurelyInseparable.elemExponent_le_of_pow_memproof · cited by 3