Theorems · Theorem · logic and foundations
Set.ncard_sdiff_singleton_lt_of_mem
∀ {α : Type u_1} {s : Set α} {a : α},
a ∈ s → autoParam s.Finite Set.ncard_sdiff_singleton_lt_of_mem._auto_1 → (s \ {a}).ncard < s.ncard- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 1 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.
Cites5
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.Finitestatement and proof · cited by 1,814
- Set.ncardstatement and proof · cited by 344
- lt_add_oneproof · cited by 105
- Set.ncard_sdiff_singleton_add_oneproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Set.ncard_diff_singleton_lt_of_memproof · cited by 0