Theorems · Theorem · number theory
AddEquiv.addDissociated_preimage
∀ {α : Type u_1} {β : Type u_2} [inst : AddCommGroup α] [inst_1 : AddCommGroup β] {s : Set α} (e : β ≃+ α),
AddDissociated (⇑e ⁻¹' s) ↔ AddDissociated s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroupAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Finsetproof · cited by 13,712
- AddCommGroupstatement and proof · cited by 12,871
- SetLike.coeproof · cited by 8,199
- Finset.sumproof · cited by 5,195
- Set.preimagestatement and proof · cited by 4,946
- AddEquivstatement and proof · cited by 1,087
- Function.Embeddingproof · cited by 988
- Finset.mapproof · cited by 747
- map_sumproof · cited by 455
- Equiv.toEmbeddingproof · cited by 254
Cited by1
Results whose statement or proof uses this declaration.
- addDissociated_negproof · cited by 2