Theorems · Theorem · general topology
MeasureTheory.exists_nat_measurableEquiv_range_coe_fin_of_finite
∀ (α : Type u_1) [inst : MeasurableSpace α] [StandardBorelSpace α] [Finite α], ∃ n, Nonempty (α ≃ᵐ ↑(Set.range fun x => ↑↑x))
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- Equivproof · cited by 8,337
- Set.Elemstatement · cited by 7,166
- Set.rangestatement · cited by 4,705
- Finitestatement and proof · cited by 3,029
- Equiv.transproof · cited by 337
- StandardBorelSpacestatement and proof · cited by 304
- MeasurableEquivstatement · cited by 269
- Equiv.ofInjectiveproof · cited by 64
- Nat.cast_injectiveproof · cited by 39
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.exists_subset_real_measurableEquivproof · cited by 1