Theorems · Theorem · group theory
AddSubgroup.bot_prod_bot
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N], ⊥.prod ⊥ = ⊥- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement and proof · cited by 4,720
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- SetLike.coe_injectiveproof · cited by 374
- AddSubgroup.prodstatement and proof · cited by 34
- Set.singleton_eq_singleton_iffproof · cited by 13
- Set.singleton_prod_singletonproof · cited by 9
- Prod.mk_eq_zeroproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoidHom.ker_prodMapproof · cited by 0