Theorems · Theorem · group theory
AddSubmonoid.top_prod
∀ {N : Type u_2} [inst : AddZeroClass N] {M : Type u_5} [inst_1 : AddZeroClass M] (s : AddSubmonoid N),
⊤.prod s = AddSubmonoid.comap (AddMonoidHom.snd M N) s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- AddZeroClassAddZeroClass
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.
- Top.topstatement · cited by 9,680
- AddMonoidHomstatement · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement and proof · cited by 1,178
- AddSubmonoid.comapstatement · cited by 62
- AddMonoidHom.sndstatement · cited by 42
- AddSubmonoid.extproof · cited by 32
- AddSubmonoid.prodstatement · cited by 27
- AddSubmonoid.mem_topproof · cited by 20
- AddSubmonoid.mem_comapproof · cited by 8
- AddSubmonoid.mem_prodproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- AddSubmonoid.top_prod_topproof · cited by 1
- AddSubmonoid.mrange_inl'proof · cited by 0