Theorems · Theorem · logic and foundations
Cardinal.mul_mk_eq_max
∀ {α β : Type u} [Infinite α] [Infinite β], Cardinal.mk α * Cardinal.mk β = max (Cardinal.mk α) (Cardinal.mk β)- Defined in
- Mathlib.SetTheory.Cardinal.Arithmetic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 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
- Cardinal.mkstatement · cited by 942
- Infinitestatement and proof · cited by 352
- Cardinal.aleph0_le_mkproof · cited by 32
- Cardinal.mul_eq_maxproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- IntermediateField.rank_sup_leproof · cited by 1