Theorems · Theorem · field theory
IntermediateField.minpoly_eq
∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] {S : IntermediateField K L}
(x : ↥S), minpoly K x = minpoly K ↑x- Cited by
- 5 results in Mathlib
- Foundations
- Depth 116 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
- Polynomialstatement · cited by 5,681
- Algebra.algebraMapproof · cited by 4,706
- IntermediateFieldstatement and proof · cited by 988
- minpolystatement · cited by 439
- RingHom.injectiveproof · cited by 187
- minpoly.algebraMap_eqproof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- IntermediateField.isSeparable_of_mem_isSeparableproof · cited by 7
- IntermediateField.linearDisjoint_of_isPurelyInseparable_of_isSeparableproof · cited by 2
- le_separableClosure'proof · cited by 1
- IntermediateField.exists_finset_of_mem_supr''proof · cited by 0
- isPurelyInseparable_iff_fd_isPurelyInseparableproof · cited by 0