Theorems · Theorem · group theory

MonoidHom.ker_prodMap

∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] {G' : Type u_8} {N' : Type u_9} [inst_2 : Group G']
  [inst_3 : Group N'] (f : G →* N) (g : G' →* N'), (f.prodMap g).ker = f.ker.prod g.ker

Defined in

Mathlib.Algebra.Group.Subgroup.Basic

Cited by

0 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Quot.sound

Assumes

GroupGroupGroupGroup