Theorems · Theorem · logic and foundations
Cardinal.succ_eq_of_lt_aleph0
∀ {c : Cardinal.{u_1}}, c < Cardinal.aleph0 → Order.succ c = c + 1- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
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
- Order.succstatement and proof · cited by 633
- Cardinal.aleph0statement and proof · cited by 521
- Cardinal.lt_aleph0proof · cited by 19
- Cardinal.succ_natCastproof · cited by 9
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