Theorems · Theorem · logic and foundations
Cardinal.add_mk_eq_max
∀ {α β : Type u} [Infinite α], Cardinal.mk α + Cardinal.mk β = max (Cardinal.mk α) (Cardinal.mk β)- Defined in
- Mathlib.SetTheory.Cardinal.Arithmetic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 103 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 · cited by 942
- Infinitestatement and proof · cited by 352
- Cardinal.aleph0_le_mkproof · cited by 32
- Cardinal.add_eq_maxproof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- Cardinal.mk_perm_eq_self_powerproof · cited by 2
- IntermediateField.rank_sup_leproof · cited by 1
- Cardinal.add_mk_eq_selfproof · cited by 1