Theorems · Theorem · group theory
Finset.add_empty
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : Add α] (s : Finset α), s + ∅ = ∅- Cited by
- 5 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAdd
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 and proof · cited by 13,712
- Finset.addstatement · cited by 133
- Finset.image₂_empty_rightproof · cited by 10
Cited by5
Results whose statement or proof uses this declaration.
- Finset.nsmul_emptyproof · cited by 4
- Finset.ruzsa_triangle_inequality_add_add_addproof · cited by 2
- Finset.addConst_empty_rightproof · cited by 2
- Finset.card_le_card_add_self'proof · cited by 0
- Finset.card_le_card_add_selfproof · cited by 0