Theorems · Theorem · group theory
Submonoid.mrange_inl_sup_mrange_inr
∀ {M : Type u_1} {N : Type u_2} [inst : MulOneClass M] [inst_1 : MulOneClass N],
MonoidHom.mrange (MonoidHom.inl M N) ⊔ MonoidHom.mrange (MonoidHom.inr M N) = ⊤- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MulOneClassMulOneClass
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 and proof · cited by 9,680
- MonoidHomstatement · cited by 3,629
- Submonoidstatement · cited by 3,086
- MulOneClassstatement and proof · cited by 1,018
- MonoidHom.mrangestatement · cited by 63
- MonoidHom.inlstatement · cited by 32
- MonoidHom.inrstatement · cited by 32
- Submonoid.mrange_inlproof · cited by 2
- Submonoid.prod_bot_sup_bot_prodproof · cited by 2
- Submonoid.mrange_inrproof · cited by 2
- Submonoid.top_prod_topproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.sup_eq_rangeproof · cited by 1