Theorems · Theorem · field theory
IntermediateField.finrank_top
∀ {F : Type u_1} [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E], Module.finrank (↥⊤) E = 1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Top.topstatement · cited by 9,680
- Fieldstatement and proof · cited by 7,404
- Module.finrankstatement · cited by 1,770
- IntermediateFieldstatement · cited by 988
- Module.rank_eq_one_iff_finrank_eq_oneproof · cited by 8
- IntermediateField.rank_topproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- IntermediateField.finrank_eq_one_iff_eq_topproof · cited by 3
- Field.primitive_element_iff_algHom_eq_of_evalproof · cited by 1