Theorems · Theorem · logic and foundations
Set.card_union_le
∀ {α : Type u_1} (s t : Set α), Nat.card ↑(s ∪ t) ≤ Nat.card ↑s + Nat.card ↑t- Defined in
- Mathlib.SetTheory.Cardinal.NatCard
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Finiteproof · cited by 3,029
- Cardinalproof · cited by 2,598
- Set.Finiteproof · cited by 1,814
- Cardinal.mkproof · cited by 942
- Nat.cardstatement and proof · cited by 844
- Nat.cast_addproof · cited by 586
- Infiniteproof · cited by 352
- Nat.cast_leproof · cited by 159
- finite_or_infiniteproof · cited by 50
- Nat.card_eq_zero_of_infiniteproof · cited by 46
Cited by1
Results whose statement or proof uses this declaration.
- rank_closureCommutatorRepresentatives_leproof · cited by 1