Theorems · Theorem · logic and foundations
not_small_cardinal
¬Small.{u, max (u + 1) (v + 1)} Cardinal.{max u v}The type of cardinals in universe u is not Small.{u}. This is a version of the Burali-Forti
paradox.
- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- Smallstatement and proof · cited by 369
- small_liftproof · cited by 4
- small_univ_iffproof · cited by 4
- Cardinal.bddAbove_iff_smallproof · cited by 3
- not_bddAbove_univproof · cited by 3
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