Theorems · Theorem · combinatorics
Finset.not_nonempty_empty
∀ {α : Type u_1}, ¬∅.Nonempty- Defined in
- Mathlib.Data.Finset.Empty
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finset.Nonemptystatement and proof · cited by 1,001
- Finset.notMem_emptyproof · cited by 40
Cited by5
Results whose statement or proof uses this declaration.
- Finset.Nonempty.cons_inductionproof · cited by 35
- Finset.sum_lt_sum_of_nonemptyproof · cited by 10
- IsUltrametricDist.exists_norm_finsetSum_leproof · cited by 1
- Finset.inf_mem_of_nonemptyproof · cited by 0
- IsExposed.sInterproof · cited by 0