Theorems · Theorem · group theory
Finset.preimage_add_left_zero
∀ {α : Type u_2} [inst : AddGroup α] {a : α}, Finset.preimage 0 (fun x => a + x) ⋯ = {-a}- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- SetLike.coestatement · cited by 8,199
- Set.preimagestatement · cited by 4,946
- AddGroupstatement and proof · cited by 4,410
- add_zeroproof · cited by 2,707
- Function.Injective.injOnstatement · cited by 280
- Finset.preimagestatement · cited by 108
- Finset.zerostatement · cited by 74
- add_right_injectivestatement · cited by 36
- Finset.image_zeroproof · cited by 3
- Finset.image_add_left'proof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Finset.preimage_add_left_zero'proof · cited by 0