Mathlib Map

Theorems · Theorem · group theory

AddSubmonoid.mrange_inl_sup_mrange_inr

∀ {M : Type u_1} {N : Type u_2} [inst : AddZeroClass M] [inst_1 : AddZeroClass N],
  AddMonoidHom.mrange (AddMonoidHom.inl M N) ⊔ AddMonoidHom.mrange (AddMonoidHom.inr M N) = ⊤
Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
1 results in Mathlib
Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddZeroClassAddZeroClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

AddSubmonoid.sup_eq_range · cited by 1AddSubmonoid.sup_eq_rangeTop.top · cited by 9680Top.topAddMonoidHom · cited by 3230AddMonoidHomAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidAddMonoidHom.mrange · cited by 61AddMonoidHom.mrangeAddMonoidHom.inl · cited by 29AddMonoidHom.inlAddMonoidHom.inr · cited by 29AddMonoidHom.inrAddSubmonoid.mrange_inl · cited by 2AddSubmonoid.mrange_inlAddSubmonoid.mrange_inr · cited by 2AddSubmonoid.mrange_inrAddSubmonoid.prod_bot_sup_bot_prod · cited by 2AddSubmonoid.prod_bot_sup…AddSubmonoid.top_prod_top · cited by 1AddSubmonoid.top_prod_topAddSubmonoid.mrange_inl_sup_m…CITED BYCITES

Cites11

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.