Mathlib Map

Theorems · Theorem · group theory

Units.map_comp

∀ {M : Type u} {N : Type v} {P : Type w} [inst : Monoid M] [inst_1 : Monoid N] [inst_2 : Monoid P] (f : M →* N)
  (g : N →* P), Units.map (g.comp f) = (Units.map g).comp (Units.map f)
Defined in
Mathlib.Algebra.Group.Units.Hom
Cited by
2 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound
Assumes
MonoidMonoidMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ZMod.unitsMap_comp · cited by 2ZMod.unitsMap_compClassGroup.mk_canonicalEquiv · cited by 1ClassGroup.mk_canonicalEq…Monoid · cited by 3887MonoidMonoidHom · cited by 3629MonoidHomUnits · cited by 2804UnitsMonoidHom.comp · cited by 469MonoidHom.compUnits.map · cited by 95Units.mapUnits.map_compCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.