Theorems · Theorem · field theory
Subfield.relfinrank_dvd_finrank_top_of_le
∀ {E : Type v} [inst : Field E] {A B : Subfield E}, A ≤ B → A.relfinrank B ∣ Module.finrank (↥A) E- Defined in
- Mathlib.FieldTheory.Relrank
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- 0 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Module.finrankstatement and proof · cited by 1,770
- Subfieldstatement and proof · cited by 303
- Subfield.relfinrankstatement · cited by 23
- dvd_of_mul_right_eqproof · cited by 12
- Subfield.relfinrank_mul_finrank_topproof · cited by 1
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