Theorems · Theorem · order theory
AddGroupConeClass.eq_zero_of_mem_of_neg_mem
∀ {S : Type u_1} {G : outParam (Type u_2)} {inst : AddCommGroup G} {inst_1 : SetLike S G} [self : AddGroupConeClass S G]
{C : S} {a : G}, a ∈ C → -a ∈ C → a = 0- Defined in
- Mathlib.Algebra.Order.Group.Cone
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- AddGroupConeClass
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- AddCommGroupstatement and proof · cited by 12,871
- SetLikestatement and proof · cited by 1,084
- AddGroupConeClassstatement and proof · cited by 3
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