Theorems · Definition · order theory

GroupNormClass.recOn

{F : Type u_7} →
  {α : Type u_8} →
    {β : Type u_9} →
      [inst : Group α] →
        [inst_1 : AddCommMonoid β] →
          [inst_2 : PartialOrder β] →
            [inst_3 : FunLike F α β] →
              {motive : GroupNormClass F α β → Sort u} →
                (t : GroupNormClass F α β) →
                  ([toGroupSeminormClass : GroupSeminormClass F α β] →
                      (eq_one_of_map_eq_zero : ∀ (f : F) {a : α}, f a = 0 → a = 1) → motive ⋯) →
                    motive t

Defined in

Mathlib.Algebra.Order.Hom.Basic

Cited by

0 results in Mathlib

Foundations

Depth 14 from the axioms · uses propext

Assumes

GroupAddCommMonoidPartialOrderFunLike