Theorems · Theorem · group theory
AddSubmonoid.mrange_inl
∀ {M : Type u_1} {N : Type u_2} [inst : AddZeroClass M] [inst_1 : AddZeroClass N],
AddMonoidHom.mrange (AddMonoidHom.inl M N) = ⊤.prod ⊥- Cited by
- 2 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClassAddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Bot.botstatement and proof · cited by 4,720
- AddMonoidHomstatement · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement · cited by 1,178
- AddMonoidHom.mrangestatement · cited by 61
- AddMonoidHom.inlstatement and proof · cited by 29
- AddSubmonoid.prodstatement and proof · cited by 27
- AddMonoidHom.mrange_eq_mapproof · cited by 15
- AddSubmonoid.map_inlproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- AddSubmonoid.mrange_inl_sup_mrange_inrproof · cited by 1
- AddSubmonoid.mrange_inl'proof · cited by 0