Theorems · Theorem · field theory
IntermediateField.rank_top
∀ {F : Type u_1} [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E], Module.rank (↥⊤) E = 1- Cited by
- 4 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 and proof · cited by 9,680
- Fieldstatement and proof · cited by 7,404
- Cardinalstatement · cited by 2,598
- IntermediateFieldstatement · cited by 988
- Module.rankstatement · cited by 496
- top_le_iffproof · cited by 175
- Subalgebra.bot_eq_top_iff_rank_eq_oneproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- IntermediateField.finrank_topproof · cited by 2
- Field.insepDegree_selfproof · cited by 2
- Algebra.IsSeparable.insepDegree_eqproof · cited by 1
- IntermediateField.relrank_top_rightproof · cited by 1