Theorems · Theorem · number theory
NumberField.mixedEmbedding.measurableSet_plusPart
∀ {K : Type u_1} [inst : Field K] {A : Set (NumberField.mixedEmbedding.mixedSpace K)} [NumberField K],
MeasurableSet A → MeasurableSet (NumberField.mixedEmbedding.plusPart A)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 164 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.
Cites23
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
- Realstatement · cited by 25,697
- MeasurableSpaceproof · cited by 13,106
- Fieldstatement and proof · cited by 7,404
- Set.ofPredproof · cited by 6,101
- Complexstatement · cited by 5,565
- MeasurableSetstatement and proof · cited by 3,075
- Set.extproof · cited by 2,266
- Set.iInterproof · cited by 1,084
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.IsRealstatement and proof · cited by 301
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.volume_eq_two_pow_mul_two_pi_pow_mul_integralproof · cited by 2
- NumberField.mixedEmbedding.volume_negAt_plusPartproof · cited by 1
- NumberField.mixedEmbedding.measurableSet_negAt_plusPartproof · cited by 1