(*** coafter_isfin2_fwd_O_aux *)
fact pr_coafter_des_ist_isf_unit_aux:
- ∀f1. @❨𝟏, f1❩ ≘ 𝟏 → H_pr_coafter_des_ist_isf f1.
+ ∀f1. @⧣❨𝟏, f1❩ ≘ 𝟏 → H_pr_coafter_des_ist_isf f1.
#f1 #Hf1 #f2 #H
generalize in match Hf1; generalize in match f1; -f1
@(pr_isf_ind … H) -f2
(*** coafter_isfin2_fwd_aux *)
fact pr_coafter_des_ist_isf_aux:
- (∀f1. @❨𝟏, f1❩ ≘ 𝟏 → H_pr_coafter_des_ist_isf f1) →
- ∀i2,f1. @❨𝟏, f1❩ ≘ i2 → H_pr_coafter_des_ist_isf f1.
+ (∀f1. @⧣❨𝟏, f1❩ ≘ 𝟏 → H_pr_coafter_des_ist_isf f1) →
+ ∀i2,f1. @⧣❨𝟏, f1❩ ≘ i2 → H_pr_coafter_des_ist_isf f1.
#H0 #i2 elim i2 -i2 /2 width=1 by/ -H0
#i2 #IH #f1 #H1f1 #f2 #Hf2 #H2f1 #f #Hf
elim (pr_pat_inv_unit_succ … H1f1) -H1f1 [ |*: // ] #g1 #Hg1 #H1