Theorems · Theorem · field theory
IntermediateField.mem_sInf
∀ {F : Type u_1} [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E]
{S : Set (IntermediateField F E)} {x : E}, x ∈ sInf S ↔ ∀ p ∈ S, x ∈ p- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- SetLike.coeproof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- IntermediateFieldstatement and proof · cited by 988
- InfSet.sInfstatement and proof · cited by 935
- Set.ext_iffproof · cited by 90
- IntermediateField.coe_sInfproof · cited by 3
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