Theorems · Theorem · number theory
MulEquiv.mulDissociated_preimage
∀ {α : Type u_1} {β : Type u_2} [inst : CommGroup α] [inst_1 : CommGroup β] {s : Set α} (e : β ≃* α),
MulDissociated (⇑e ⁻¹' s) ↔ MulDissociated s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- SetLike.coeproof · cited by 8,199
- Set.preimagestatement and proof · cited by 4,946
- Finset.prodproof · cited by 2,356
- MulEquivstatement and proof · cited by 1,142
- CommGroupstatement and proof · cited by 990
- Function.Embeddingproof · cited by 988
- Finset.mapproof · cited by 747
- Equiv.toEmbeddingproof · cited by 254
- MulEquiv.toEquivproof · cited by 126
Cited by1
Results whose statement or proof uses this declaration.
- mulDissociated_invproof · cited by 2