I now consistently use _inv
for the reverse direction, as we already used to do at various places. For example:
Lemma reducible_fill `{!@LanguageCtx Λ K} e σ :
reducible e σ → reducible (K e) σ.
Lemma reducible_fill_inv `{!@LanguageCtx Λ K} e σ :
to_val e = None → reducible (K e) σ → reducible e σ.