Theorems · Theorem · logic and foundations
ENNReal.toReal_enatCard
∀ (α : Type u_1), (↑(ENat.card α)).toReal = ↑(Nat.card α)
- Defined in
- Mathlib.SetTheory.Cardinal.ENNReal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Finiteproof · cited by 3,029
- Nat.cast_zeroproof · cited by 1,870
- ENNReal.toRealstatement and proof · cited by 859
- Nat.cardstatement and proof · cited by 844
- Infiniteproof · cited by 352
- ENat.toENNRealstatement and proof · cited by 103
- ENat.cardstatement · cited by 89
- finite_or_infiniteproof · cited by 50
- Nat.card_eq_zero_of_infiniteproof · cited by 46
- ENNReal.toReal_natCastproof · cited by 15
- ENat.card_eq_coe_natCardproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.count_real_univproof · cited by 0