Theorems · Theorem · logic and foundations
Set.ncard_singleton
∀ {α : Type u_1} (a : α), {a}.ncard = 1- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ncardstatement · cited by 344
- ENat.toNatproof · cited by 143
- Set.encard_singletonproof · cited by 26
Cited by8
Results whose statement or proof uses this declaration.
- Set.ncard_pairproof · cited by 3
- PiTensorProduct.ext_of_span_eq_topproof · cited by 2
- SimpleGraph.ConnectedComponent.Represents.ncard_sdiff_of_memproof · cited by 1
- Set.ncard_eq_oneproof · cited by 1
- Submodule.spanFinrank_singletonproof · cited by 1
- EuclideanGeometry.Sphere.ncard_inter_orthRadius_le_twoproof · cited by 0
- SimpleGraph.Walk.IsPath.ncard_neighborSet_toSubgraph_internal_eq_twoproof · cited by 0