Theorems · Theorem · field theory
IntermediateField.mem_restrict
∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] {F E : IntermediateField K L}
(h : F ≤ E) (x : ↥E), x ∈ IntermediateField.restrict h ↔ ↑x ∈ F- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- IntermediateFieldstatement and proof · cited by 988
- Set.ext_iffproof · cited by 90
- Set.range_inclusionproof · cited by 12
- IntermediateField.restrictstatement · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- IntermediateField.lift_restrictproof · cited by 2