Theorems · Theorem · field theory
RatFunc.IntermediateField.adjoin_X
∀ {K : Type u_1} [inst : Field K] (E : IntermediateField K (RatFunc K)), (↥E)⟮RatFunc.X⟯ = ⊤- Cited by
- 0 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Top.topstatement and proof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- IntermediateFieldstatement and proof · cited by 988
- le_transproof · cited by 985
- IntermediateField.adjoinstatement · cited by 382
- le_of_eqproof · cited by 366
- RatFuncstatement and proof · cited by 301
- eq_top_iffproof · cited by 236
- Set.union_singletonproof · cited by 107
- RatFunc.Xstatement and proof · cited by 58
Cited by1
Results whose statement or proof uses this declaration.
- RatFunc.IntermediateField.adjoinXEquivproof · cited by 2