Theorems · Theorem · field theory
IntermediateField.equivOfEq_apply
∀ {F : Type u_4} [inst : Field F] {E : Type u_5} [inst_1 : Field E] [inst_2 : Algebra F E] {S T : IntermediateField F E}
(h : S = T) (x : ↥S.toSubalgebra), (IntermediateField.equivOfEq h) x = ⟨↑x, ⋯⟩- Cited by
- 3 results in Mathlib
- Foundations
- Depth 62 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.
- DFunLike.coestatement and proof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- AlgEquivstatement · cited by 1,681
- Subalgebrastatement · cited by 1,353
- IntermediateFieldstatement and proof · cited by 988
- IntermediateField.toSubalgebrastatement and proof · cited by 134
- IntermediateField.equivOfEqstatement and proof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- RatFunc.Luroth.algEquiv_algebraMapproof · cited by 0
- RatFunc.Luroth.algEquiv_applyproof · cited by 0
- RatFunc.Luroth.algEquiv_Xproof · cited by 0