Theorems · Theorem · group theory
AddSubmonoid.LocalizationMap.map_isAddRegular
∀ {M : Type u_1} {N : Type u_2} [inst : AddCommMonoid M] {S : AddSubmonoid M} [inst_1 : AddCommMonoid N]
(f : S.LocalizationMap N) {m : M}, IsAddRegular m → IsAddRegular (f m)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- AddSubmonoidstatement and proof · cited by 1,178
- map_addproof · cited by 964
- add_assocproof · cited by 746
- AddSubmonoid.LocalizationMapstatement and proof · cited by 119
- add_right_commproof · cited by 85
- add_left_commproof · cited by 76
- IsAddRegularstatement and proof · cited by 43
- AddSubmonoid.LocalizationMap.map_addUnitsproof · cited by 36
- AddCommute.allproof · cited by 12
- IsAddUnit.add_left_injproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- AddSubmonoid.LocalizationMap.isCancelAddproof · cited by 0