Theorems · Theorem · number theory
NumberField.mixedEmbedding.fractionalIdealLatticeBasis_apply
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K]
(I : (FractionalIdeal (nonZeroDivisors (NumberField.RingOfIntegers K)) K)ˣ) (i : Module.Free.ChooseBasisIndex ℤ ↥↑↑I),
(NumberField.mixedEmbedding.fractionalIdealLatticeBasis K I) i =
(NumberField.mixedEmbedding K) ((NumberField.basisOfFractionalIdeal K I) i)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 309 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
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
- Realstatement · cited by 25,697
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Submodulestatement · cited by 7,192
- Complexstatement · cited by 5,565
- Equiv.symmproof · cited by 3,681
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- Module.Basisstatement · cited by 1,477
- nonZeroDivisorsstatement and proof · cited by 895
- NumberFieldstatement and proof · cited by 653
Cited by2
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.mem_span_fractionalIdealLatticeBasisproof · cited by 3