Theorems · Theorem · field theory
IsPurelyInseparable.elemExponent_def
∀ (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),
a ^ ringExpChar K ^ IsPurelyInseparable.elemExponent K a ∈ (algebraMap K L).range- Cited by
- 1 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.
Cites11
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
- Algebra.algebraMapstatement · cited by 4,706
- Subringstatement · cited by 602
- RingHom.rangestatement · cited by 138
- IsPurelyInseparablestatement and proof · cited by 84
- ringExpCharstatement · cited by 27
- IsPurelyInseparable.elemExponentstatement · cited by 15
- RingHom.mem_rangeproof · cited by 10
- IsPurelyInseparable.elemReductproof · cited by 5
- IsPurelyInseparable.algebraMap_elemReduct_eqproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsPurelyInseparable.elemExponent_def'proof · cited by 0