Theorems · Theorem · logic and foundations
Cardinal.succ_zero
Order.succ 0 = 1
- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Order.succstatement and proof · cited by 633
- Cardinal.succ_natCastproof · cited by 9
Cited by4
Results whose statement or proof uses this declaration.
- Cardinal.lt_one_iffproof · cited by 5
- WType.cardinalMk_le_max_aleph0_of_finite'proof · cited by 2
- Cardinal.one_le_iff_posproof · cited by 1
- Cardinal.le_one_iffproof · cited by 1