Theorems · Theorem · logic and foundations
Cardinal.add_one_eq
∀ {a : Cardinal.{u_1}}, Cardinal.aleph0 ≤ a → a + 1 = a- Defined in
- Mathlib.SetTheory.Cardinal.Arithmetic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Cardinal.aleph0statement and proof · cited by 521
- Cardinal.add_one_of_aleph0_leproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.mk_bounded_set_le_of_infiniteproof · cited by 1
- Cardinal.mk_add_one_eqproof · cited by 0