Theorems · Theorem · field theory
IsPurelyInseparable.elemExponent_eq_zero_of_mem_range
∀ {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 ∈ (algebraMap K L).range → IsPurelyInseparable.elemExponent K a = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Algebrastatement and proof · cited by 11,388
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- Algebra.algebraMapstatement and proof · cited by 4,706
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
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- pow_oneproof · cited by 894
- Subringstatement · cited by 602
- minpolyproof · cited by 439
- RingHom.rangestatement and proof · cited by 138
Cited by1
Results whose statement or proof uses this declaration.
- IsPurelyInseparable.elemExponent_eq_zero_of_charZeroproof · cited by 1