Theorems · Theorem · logic and foundations
Cardinal.add_le_max
∀ (a b : Cardinal.{u_1}), a + b ≤ max (max a b) Cardinal.aleph0- Defined in
- Mathlib.SetTheory.Cardinal.Arithmetic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- LT.lt.leproof · cited by 2,189
- add_commproof · cited by 1,535
- Cardinal.aleph0statement and proof · cited by 521
- le_or_gtproof · cited by 269
- le_max_leftproof · cited by 215
- max_commproof · cited by 41
- le_max_of_le_rightproof · cited by 30
- Cardinal.add_eq_maxproof · cited by 13
- Cardinal.add_lt_aleph0proof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- IntermediateField.lift_cardinalMk_adjoin_leproof · cited by 2