Theorems · Theorem · field theory
IsPurelyInseparable.bijective_comp_algebraMap
∀ (F : Type u) (E : Type v) [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] [IsPurelyInseparable F E] (L : Type u_2) [inst_4 : Field L] [PerfectField L], Function.Bijective fun f => f.comp (algebraMap F E)
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- Foundations
- Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapstatement · cited by 4,706
- AlgHomproof · cited by 3,236
- RingHom.compstatement · cited by 899
- Function.Bijectivestatement · cited by 863
- RingHomClass.toRingHomproof · cited by 746
- RingHom.toAlgebraproof · cited by 337
- Classical.arbitraryproof · cited by 161
- IsPurelyInseparablestatement and proof · cited by 84
- AlgHom.comp_algebraMapproof · cited by 63
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