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Remove eta-expansion in lift_wf_term_it_impl #1185

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Remove eta-expansion in lift_wf_term_it_impl #1185

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12 changes: 6 additions & 6 deletions common/theories/EnvironmentTyping.v
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Expand Up @@ -367,15 +367,15 @@ Module EnvTyping (T : Term) (E : EnvironmentSig T) (TU : TermUtils T E).

Definition lift_typing_conj (P Q : context -> _) := lift_typing1 (Prop_local_conj P Q).

Lemma lift_wf_term_it_impl {P Q} {tm tm' : option term} {t t' : term} {u u' r r'} :
forall tu: lift_wf_term P (Judge tm t u r),
match tm', tm with None, _ => unit | Some tm', Some tm => P tm -> Q tm' | _, _ => False end ->
(P t -> Q t') ->
lift_wf_term Q (Judge tm' t' u' r').
Lemma lift_wf_term_it_impl {P Q} {j j'} :
forall tu: lift_wf_term P j,
match j_term j', j_term j with None, _ => unit | Some tm', Some tm => P tm -> Q tm' | _, _ => False end ->
(P (j_typ j) -> Q (j_typ j')) ->
lift_wf_term Q j'.
Proof.
intros (Htm & Hs) HPQc HPQs.
split; auto.
destruct tm, tm' => //=. now apply HPQc.
destruct (j_term j), (j_term j') => //=. now apply HPQc.
Qed.

Lemma lift_wf_term_f_impl P Q tm t u u' r r' :
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