ZeroMemClass.zero_mem

∀ {S : Type u_3} {M : outParam (Type u_4)} {inst : Zero M} {inst_1 : SetLike S M} [self : ZeroMemClass S M] (s : S),
  0 ∈ s

By definition, if we have ZeroMemClass S M, we have 0 ∈ s for all s : S.

Defined in: Mathlib.Algebra.Group.Submonoid.Defs
Cited by: 162 results in Mathlib
Foundations: Depth 5 from the axioms, rests on 16 definitions · uses no axioms
Assumes: ZeroMemClass

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