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Theorems · Theorem · field theory

IntermediateField.lift_bot

∀ (F : Type u_1) [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E] (K : IntermediateField F E),
  IntermediateField.lift ⊥ = ⊥
Defined in
Mathlib.FieldTheory.IntermediateField.Adjoin.Defs
Cited by
1 results in Mathlib
Foundations
Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

IntermediateField.LinearDisjoint.of_inf_eq_bot · cited by 2LinearDisjoint.of_inf_eq_…Algebra · cited by 11388AlgebraField · cited by 7404FieldBot.bot · cited by 4720Bot.botIntermediateField · cited by 988IntermediateFieldIntermediateField.val · cited by 42IntermediateField.valIntermediateField.lift · cited by 22IntermediateField.liftIntermediateField.map_bot · cited by 1IntermediateField.map_botIntermediateField.lift_botCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.