Theorems · Definition · order theory

AddGroupConeClass.casesOn

{S : Type u_1} →
  {G : Type u_2} →
    [inst : AddCommGroup G] →
      [inst_1 : SetLike S G] →
        {motive : AddGroupConeClass S G → Sort u} →
          (t : AddGroupConeClass S G) →
            ([toAddSubmonoidClass : AddSubmonoidClass S G] →
                (eq_zero_of_mem_of_neg_mem : ∀ {C : S} {a : G}, a ∈ C → -a ∈ C → a = 0) → motive ⋯) →
              motive t

Defined in: Mathlib.Algebra.Order.Group.Cone
Cited by: 0 results in Mathlib
Foundations: Depth 15 from the axioms · uses propext
Assumes: AddCommGroup SetLike

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AddCommGroupstatement and proof · cited by 12,871
SetLikestatement and proof · cited by 1,084
AddSubmonoidClassstatement and proof · cited by 346
AddGroupConeClassstatement and proof · cited by 3

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