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Theorems · Theorem · field theory

Subfield.map_le_iff_le_comap

∀ {K : Type u} {L : Type v} [inst : DivisionRing K] [inst_1 : DivisionRing L] {f : K →+* L} {s : Subfield K}
  {t : Subfield L}, Subfield.map f s ≤ t ↔ s ≤ Subfield.comap f t
Defined in
Mathlib.Algebra.Field.Subfield.Basic
Cited by
1 results in Mathlib
Foundations
Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DivisionRingDivisionRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Subfield.gc_map_comap · cited by 7Subfield.gc_map_comapRingHom · cited by 10189RingHomDivisionRing · cited by 1062DivisionRingSubfield · cited by 303SubfieldSet.image_subset_iff · cited by 203Set.image_subset_iffSubfield.map · cited by 30Subfield.mapSubfield.comap · cited by 29Subfield.comapSubfield.map_le_iff_le_comapCITED BYCITES

Cites6

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Cited by1

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