Theorems · Definition · group theory
AddMonoidHom.inl
(M : Type u_3) → (N : Type u_4) → [inst : AddZeroClass M] → [inst_1 : AddZeroClass N] → M →+ M × N
Given additive monoids A, B, the natural inclusion homomorphism
from A to A × B.
- Defined in
- Mathlib.Algebra.Group.Prod
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- AddZeroClassAddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomstatement · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
Cited by33
Results whose statement or proof uses this declaration.
- AddLocalization.addMonoidOfproof · cited by 13
- AddMonoid.Coprod.toProdproof · cited by 11
- AddSubmonoid.prod_le_iffstatement and proof · cited by 5
- OrderAddMonoidHom.inlproof · cited by 5
- MeasureTheory.memLp_prod_iffproof · cited by 3
- AddSubgroup.prod_le_iffstatement · cited by 2
- AddMonoidHom.addCommute_inl_inrstatement · cited by 2
- AddSubmonoid.mrange_inlstatement and proof · cited by 2
- AddSubmonoid.closure_zero_prodproof · cited by 1
- AddSubgroup.addCommutator_sum_sumproof · cited by 1
- AddSubmonoid.prod_eq_bot_iffproof · cited by 1
- AddMonoidHom.mker_inlstatement · cited by 1