Theorems · Theorem · logic and foundations
Cardinal.add_mk_eq_self
∀ {α : Type u_1} [Infinite α], Cardinal.mk α + Cardinal.mk α = Cardinal.mk α- Defined in
- Mathlib.SetTheory.Cardinal.Arithmetic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Infinite
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
- Cardinal.mkstatement and proof · cited by 942
- Infinitestatement and proof · cited by 352
- max_selfproof · cited by 43
- Cardinal.add_mk_eq_maxproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Set.Infinite.exists_union_disjoint_cardinal_eq_of_infiniteproof · cited by 1