Theorems · Theorem · field theory
IntermediateField.map_bot
∀ {F : Type u_1} [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E] {K : Type u_3}
[inst_3 : Field K] [inst_4 : Algebra F K] (f : E →ₐ[F] K), IntermediateField.map f ⊥ = ⊥- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Bot.botstatement and proof · cited by 4,720
- AlgHomstatement and proof · cited by 3,236
- IntermediateFieldstatement · cited by 988
- IntermediateField.mapstatement and proof · cited by 62
- IntermediateField.toSubalgebra_injectiveproof · cited by 11
- Algebra.map_botproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IntermediateField.lift_botproof · cited by 1