Theorems · Theorem · logic and foundations
Cardinal.mk_Ici_real
∀ (a : ℝ), Cardinal.mk ↑(Set.Ici a) = Cardinal.continuum
The cardinality of the interval $[a, ∞)$.
- Defined in
- Mathlib.Analysis.Real.Cardinality
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Set.Elemstatement · cited by 7,166
- Cardinalstatement · cited by 2,598
- le_antisymmproof · cited by 2,068
- Set.Icistatement and proof · cited by 1,070
- Cardinal.mkstatement · cited by 942
- Cardinal.continuumstatement · cited by 60
- Cardinal.mk_le_mk_of_subsetproof · cited by 37
- Set.Ioi_subset_Ici_selfproof · cited by 34
- Cardinal.mk_set_leproof · cited by 14
- Cardinal.mk_realproof · cited by 11
- Cardinal.mk_Ioi_realproof · cited by 3
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