subgroup — Mathlib

English

IsApproximateSubgroup 1 (H : Set G) is equivalent to the existence of a Subgroup H' with H' = (H : Set G).

Русский

IsApproximateSubgroup 1 (H : Set G) эквивалентно существованию подпгруппы H' с H' = (H : Set G).

LaTeX

$$$\\IsApproximateSubgroup 1 (H : Set G) \\iff \\exists H' : Subgroup G, H' = (H : Set G)$$$

Lean4

@[to_additive]
theorem subgroup {S : Type*} [SetLike S G] [SubgroupClass S G] {H : S} : IsApproximateSubgroup 1 (H : Set G)
    where
  one_mem := OneMemClass.one_mem H
  inv_eq_self := inv_coe_set
  sq_covBySMul := ⟨{ 1 }, by simp⟩

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