Theorems · Theorem · field theory
Subfield.mem_extendScalars
∀ {L : Type u_2} [inst : Field L] {F E : Subfield L} (h : F ≤ E) {x : L}, x ∈ Subfield.extendScalars h ↔ x ∈ E- Cited by
- 1 results in Mathlib
- Foundations
- Depth 59 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.
Cites4
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
- IntermediateFieldstatement · cited by 988
- Subfieldstatement and proof · cited by 303
- Subfield.extendScalarsstatement · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- Subfield.extendScalars_selfproof · cited by 1