Theorems · Theorem · group theory
Finset.map_op_neg
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : Neg α] (s : Finset α),
Finset.map AddOpposite.opEquiv.toEmbedding (-s) = -Finset.map AddOpposite.opEquiv.toEmbedding s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqNeg
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
- Finset.imageproof · cited by 910
- Finset.mapstatement · cited by 747
- AddOppositestatement · cited by 452
- Equiv.toEmbeddingstatement and proof · cited by 254
- AddOpposite.opproof · cited by 192
- Finset.negstatement · cited by 63
- Finset.map_eq_imageproof · cited by 50
- AddOpposite.opEquivstatement and proof · cited by 20
- AddOpposite.opEquiv_applyproof · cited by 5
- Finset.image_op_negproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Finset.ruzsa_triangle_inequality_negAdd_negAdd_negAddproof · cited by 1