Mathlib Map

Theorems · Theorem · group theory

AddSubmonoid.bot_prod_bot

∀ {N : Type u_2} [inst : AddZeroClass N] {M : Type u_5} [inst_1 : AddZeroClass M], ⊥.prod ⊥ = ⊥
Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
1 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
AddZeroClassAddZeroClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddMonoidHom.mker_prod_map · cited by 0AddMonoidHom.mker_prod_mapBot.bot · cited by 4720Bot.botAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidSetLike.coe_injective · cited by 374SetLike.coe_injectiveAddSubmonoid.prod · cited by 27AddSubmonoid.prodSet.singleton_eq_singleton_iff · cited by 13Set.singleton_eq_singleto…Set.singleton_prod_singleton · cited by 9Set.singleton_prod_single…Prod.mk_eq_zero · cited by 9Prod.mk_eq_zeroAddSubmonoid.bot_prod_botCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.