-nlemma quintuple_destruct
- : ∀T1,T2,T3,T4,T5.
- (∀x,y:T1.decidable (x = y)) →
- (∀x,y:T2.decidable (x = y)) →
- (∀x,y:T3.decidable (x = y)) →
- (∀x,y:T4.decidable (x = y)) →
- (∀x,y:T5.decidable (x = y)) →
- ∀x1,x2:T1.∀y1,y2:T2.∀z1,z2:T3.∀v1,v2:T4.∀w1,w2:T5.
- (quintuple T1 T2 T3 T4 T5 x1 y1 z1 v1 w1) ≠ (quintuple T1 T2 T3 T4 T5 x2 y2 z2 v2 w2) →
- Or5 (x1 ≠ x2) (y1 ≠ y2) (z1 ≠ z2) (v1 ≠ v2) (w1 ≠ w2).
+nlemma quintuple_destruct :
+∀T1,T2,T3,T4,T5.
+ (∀x,y:T1.decidable (x = y)) →
+ (∀x,y:T2.decidable (x = y)) →
+ (∀x,y:T3.decidable (x = y)) →
+ (∀x,y:T4.decidable (x = y)) →
+ (∀x,y:T5.decidable (x = y)) →
+ (∀x1,x2:T1.∀y1,y2:T2.∀z1,z2:T3.∀v1,v2:T4.∀w1,w2:T5.
+ (quintuple T1 T2 T3 T4 T5 x1 y1 z1 v1 w1) ≠ (quintuple T1 T2 T3 T4 T5 x2 y2 z2 v2 w2) →
+ Or5 (x1 ≠ x2) (y1 ≠ y2) (z1 ≠ z2) (v1 ≠ v2) (w1 ≠ w2)).