Theorems · Theorem · field theory
IsPurelyInseparable.bijective_restrictDomain
∀ (F : Type u) (E : Type v) [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] [IsPurelyInseparable F E] (R : Type u_1) (L : Type u_2) [inst_4 : CommSemiring R] [inst_5 : Algebra R F] [inst_6 : Algebra R E] [inst_7 : Field L] [PerfectField L] [inst_9 : Algebra R L] [inst_10 : IsScalarTower R F E], Function.Bijective (AlgHom.domRestrict F)
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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
- CommSemiringstatement and proof · cited by 10,911
- Fieldstatement and proof · cited by 7,404
- IsScalarTowerstatement and proof · cited by 3,896
- AlgHomstatement and proof · cited by 3,236
- Function.Bijectivestatement · cited by 863
- AlgHom.toRingHomproof · cited by 490
- RingHom.toAlgebraproof · cited by 337
- Classical.arbitraryproof · cited by 161
- IsPurelyInseparablestatement and proof · cited by 84
- AlgHom.restrictScalarsproof · cited by 83
- AlgHom.comp_algebraMapproof · cited by 63
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