Theorems · Theorem · field theory
IsPurelyInseparable.elemExponent_le_of_pow_mem
∀ {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} {n : ℕ},
a ^ ringExpChar K ^ n ∈ (algebraMap K L).range → IsPurelyInseparable.elemExponent K a ≤ n- Cited by
- 3 results in Mathlib
- Foundations
- Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites38
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by3
Results whose statement or proof uses this declaration.
- IsPurelyInseparable.elemExponent_minproof · cited by 1
- IsPurelyInseparable.elemExponent_le_of_pow_mem'proof · cited by 0
- IsPurelyInseparable.elemExponent_le_exponentproof · cited by 0