Theorems · Theorem · group theory
Submonoid.LocalizationMap.toMonoidHom_apply
∀ {M : Type u_1} [inst : CommMonoid M] {S : Submonoid M} {N : Type u_2} [inst_1 : CommMonoid N]
(f : S.LocalizationMap N) (x : M), f.toMonoidHom x = f x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoidCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- MonoidHomstatement · cited by 3,629
- Submonoidstatement and proof · cited by 3,086
- CommMonoidstatement and proof · cited by 2,264
- Submonoid.LocalizationMapstatement and proof · cited by 147
- Submonoid.LocalizationMap.toMonoidHomstatement · cited by 33
Cited by2
Results whose statement or proof uses this declaration.
- Submonoid.LocalizationMap.mk'_eq_iff_eqproof · cited by 5
- Submonoid.LocalizationMap.lift_comp_liftproof · cited by 1