cocardinal_inf_principal_neBot_iff

English

Infimum of cocardinal with principal filter is NeBot iff c ≤ #s.

Русский

infimum cocardinal и принципиального фильтра NeBot эквивалентно c ≤ #s.

LaTeX

$$cocardinal_inf_principal_neBot_iff {s : Set α} : (cocardinal α hreg ⊓ 𝓟 s).NeBot ↔ c ≤ #s$$

Lean4

@[simp]
theorem cocardinal_inf_principal_neBot_iff {s : Set α} : (cocardinal α hreg ⊓ 𝓟 s).NeBot ↔ c ≤ #s :=
  frequently_mem_iff_neBot.symm.trans frequently_cocardinal

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