Theorems · Theorem · group theory
Finset.image_add_left
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : AddGroup α] {t : Finset α} {a : α},
Finset.image (fun b => a + b) t = t.preimage (fun b => -a + b) ⋯- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 and proof · cited by 8,199
- Set.preimagestatement and proof · cited by 4,946
- AddGroupstatement and proof · cited by 4,410
- Finset.imagestatement and proof · cited by 910
- Function.Injective.injOnstatement and proof · cited by 280
- Finset.coe_imageproof · cited by 222
- Finset.coe_injectiveproof · cited by 127
- Finset.preimagestatement and proof · cited by 108
- Set.image_add_leftproof · cited by 44
- add_right_injectivestatement and proof · cited by 36
- Finset.coe_preimageproof · cited by 28
Cited by1
Results whose statement or proof uses this declaration.
- Finset.image_add_left'proof · cited by 2