Theorems · Theorem · field theory
Subfield.mem_comap
∀ {K : Type u} {L : Type v} [inst : DivisionRing K] [inst_1 : DivisionRing L] {s : Subfield L} {f : K →+* L} {x : K},
x ∈ Subfield.comap f s ↔ f x ∈ s- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRingDivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- DivisionRingstatement and proof · cited by 1,062
- Subfieldstatement and proof · cited by 303
- Subfield.comapstatement · cited by 29
Cited by2
Results whose statement or proof uses this declaration.
- Subfield.closure_preimage_leproof · cited by 0
- RingHom.field_closure_preimage_leproof · cited by 0