Theorems · Theorem · logic and foundations
Set.ncard_union_le
∀ {α : Type u_1} (s t : Set α), (s ∪ t).ncard ≤ s.ncard + t.ncard- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 99 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
- ENatproof · cited by 4,985
- Set.Finiteproof · cited by 1,814
- Nat.cast_addproof · cited by 586
- zero_leproof · cited by 382
- Set.ncardstatement and proof · cited by 344
- Set.encardproof · cited by 327
- Set.Finite.subsetproof · cited by 285
- Set.Infiniteproof · cited by 263
- Nat.cast_leproof · cited by 159
- Set.subset_union_leftproof · cited by 142
- Set.subset_union_rightproof · cited by 123
Cited by4
Results whose statement or proof uses this declaration.
- Finset.set_ncard_biUnion_leproof · cited by 2
- Set.union_ne_univ_of_ncard_add_ncard_ltproof · cited by 2
- Set.ncard_union_ltproof · cited by 1