Theorems · Theorem · field theory
IntermediateField.relrank_bot_left
∀ {F : Type u} {E : Type v} [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] (A : IntermediateField F E),
⊥.relrank A = Module.rank F ↥A- Defined in
- Mathlib.FieldTheory.Relrank
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Bot.botstatement and proof · cited by 4,720
- one_mulproof · cited by 2,841
- Cardinalstatement and proof · cited by 2,598
- IntermediateFieldstatement and proof · cited by 988
- Module.rankstatement · cited by 496
- bot_leproof · cited by 306
- IntermediateField.relrankstatement and proof · cited by 45
- IntermediateField.rank_botproof · cited by 5
- IntermediateField.rank_bot_mul_relrankproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- IntermediateField.relfinrank_bot_leftproof · cited by 0