brange_const — Mathlib

English

The simple typein version is equal to the primed version at typein i.

Русский

Лемма о тождестве для typein и bfamilyOfFamily.

LaTeX

$$$\mathrm{bfamilyOfFamily}(f)(\mathrm{typein}\, i)(\mathrm{typein\_lt\_type}\, i) = f\ i$$$

Lean4

@[simp]
theorem brange_const {o : Ordinal} (ho : o ≠ 0) {c : α} : (brange o fun _ _ => c) = { c } :=
  by
  rw [← range_familyOfBFamily]
  exact @Set.range_const _ o.toType (toType_nonempty_iff_ne_zero.2 ho) c

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