Theorems · Theorem · field theory
FixedBy.intermediateField_mem_iff
∀ {M : Type u} [inst : Monoid M] (K : Type u_1) (F : Type v) [inst_1 : Field F] [inst_2 : MulSemiringAction M F] (m : M)
[inst_3 : Field K] [inst_4 : Algebra K F] [inst_5 : SMulCommClass M K F] (x : F),
x ∈ FixedBy.intermediateField K F m ↔ m • x = x- Defined in
- Mathlib.FieldTheory.Fixed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
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
- Monoidstatement and proof · cited by 3,887
- SMulCommClassstatement and proof · cited by 1,927
- IntermediateFieldstatement · cited by 988
- MulSemiringActionstatement and proof · cited by 423
- FixedBy.intermediateFieldstatement · cited by 2
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