Theorems · Inductive type · group theory
AddSemigroup
Type u → Type u
An additive semigroup is a type with an associative (+).
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 136 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by227
Results whose statement or proof uses this declaration.
- add_assocstatement and proof · cited by 746
- AddSemigroupAction.add_vaddstatement and proof · cited by 43
- Set.addMonoidproof · cited by 18
- IsAddQuantalestatement · cited by 13
- Hindman.FSstatement · cited by 11
- AddSubsemigroup.centralizerstatement and proof · cited by 9
- AddSemigroup.mem_center_iffstatement and proof · cited by 9
- AddSemigrp.ofstatement and proof · cited by 9
- FreeAddSemigroup.liftstatement and proof · cited by 8
- AddSemigrp.ofHomstatement and proof · cited by 8
- AddMonoid.extproof · cited by 7
- AddSubsemigroup.topologicalClosurestatement and proof · cited by 5
Showing the 200 most cited of 227.