Theorems · Theorem · field theory
IntermediateField.fg_top_iff
∀ {F : Type u_1} [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E],
⊤.FG ↔ Algebra.EssFiniteType F E- Cited by
- 2 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- Algebrastatement and proof · cited by 11,388
- Top.topstatement and proof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- IntermediateFieldstatement · cited by 988
- nonZeroDivisorsproof · cited by 895
- Algebra.adjoinproof · cited by 535
- IntermediateField.adjoinproof · cited by 382
- AlgEquiv.toAlgHomproof · cited by 273
- IsLocalization.mk'proof · cited by 218
- Finset.finite_toSetproof · cited by 210
Cited by2
Results whose statement or proof uses this declaration.
- IntermediateField.fg_topproof · cited by 3
- Field.fg_iff_essFiniteTypeproof · cited by 0