Theorems · Theorem · field theory
IntermediateField.toSubalgebra_injective
∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L],
Function.Injective IntermediateField.toSubalgebra- Cited by
- 11 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Subalgebrastatement · cited by 1,353
- IntermediateFieldstatement and proof · cited by 988
- IntermediateField.toSubalgebrastatement and proof · cited by 134
- IntermediateField.extproof · cited by 17
Cited by11
Results whose statement or proof uses this declaration.
- IntermediateField.toSubalgebra_injproof · cited by 6
- IntermediateField.eq_adjoin_of_eq_algebra_adjoinproof · cited by 3
- IsCyclotomicExtension.isSeparableproof · cited by 3
- IntermediateField.map_injectiveproof · cited by 2
- IntermediateField.LinearDisjoint.inf_eq_botproof · cited by 2
- isSplittingField_iff_intermediateFieldproof · cited by 2
- IntermediateField.eq_of_le_of_finrank_leproof · cited by 2
- IntermediateField.isSplittingField_iffproof · cited by 1
- IntermediateField.map_botproof · cited by 1
- IntermediateField.fieldRange_comp_valproof · cited by 0
- Field.Emb.Cardinal.adjoin_basis_eq_topproof · cited by 0