Theorems · Definition · group theory

NegMemClass.recOn

{S : Type u_3} →
  {G : Type u_4} →
    [inst : Neg G] →
      [inst_1 : SetLike S G] →
        {motive : NegMemClass S G → Sort u} →
          (t : NegMemClass S G) → ((neg_mem : ∀ {s : S} {x : G}, x ∈ s → -x ∈ s) → motive ⋯) → motive t

Defined in: Mathlib.Algebra.Group.Subgroup.Defs
Cited by: 0 results in Mathlib
Foundations: Depth 7 from the axioms · uses no axioms
Assumes: Neg SetLike

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SetLikestatement and proof · cited by 1,084
NegMemClassstatement and proof · cited by 11

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