Theorems · Theorem · logic and foundations
Set.union_ne_univ_of_ncard_add_ncard_lt
∀ {α : Type u_1} {s t : Set α}, s.ncard + t.ncard < Nat.card α → s ∪ t ≠ Set.univ- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.univstatement and proof · cited by 3,945
- Nat.cardstatement and proof · cited by 844
- Set.ncardstatement and proof · cited by 344
- Set.ncard_univproof · cited by 21
- Set.ncard_union_leproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- MulAction.IsPreprimitive.is_two_motive_of_is_motiveproof · cited by 2
- Set.nonempty_inter_compl_of_ncard_add_ncard_ltproof · cited by 0