Theorems · Inductive type · group theory
MulOneClass
Type u → Type u
Typeclass for expressing that a type M with multiplication and a one satisfies
1 * a = a and a * 1 = a for all a : M.
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 1,018 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 by1,243
Results whose statement or proof uses this declaration.
- mul_onestatement and proof · cited by 3,885
- Submonoidstatement · cited by 3,086
- one_mulstatement and proof · cited by 2,841
- MonoidHom.kerstatement and proof · cited by 212
- Submonoid.mapstatement and proof · cited by 190
- Submonoid.comapstatement and proof · cited by 179
- Submonoid.closurestatement and proof · cited by 167
- Submonoid.toSubsemigroupstatement and proof · cited by 159
- MulEquiv.toMonoidHomstatement and proof · cited by 126
- Monoid.Coprodstatement and proof · cited by 109
- OrderMonoidHomstatement · cited by 67
- MonoidHom.mrangestatement and proof · cited by 63
Showing the 200 most cited of 1,243.