of_oneHomClass — Mathlib

English

If M is Subsingleton and F is a OneHomClass from M to N, then F is a Subsingleton.

Русский

Если M — подселед, и F является OneHomClass от M к N, то F есть подселед.

LaTeX

$$$$ \text{Subsingleton } F. $$$$

Lean4

/-- In principle this could be an instance, but in practice it causes performance issues. -/
@[to_additive]
theorem of_oneHomClass [Subsingleton M] [OneHomClass F M N] : Subsingleton F where
  allEq f g := DFunLike.ext _ _ fun x ↦ by simp [Subsingleton.elim x 1]

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