Prop
T:Type{i'}. col{i:l}(T) 
Type{i'} a 
x bT:Type, a,b:Collection(T). (a + b) Collection(T) c == c(x)T:Type, x:T, c:Collection(T). x c Prop
Q == (P 
Q) & (P Q)A,B:Prop. (A B) Prop Q == Q PA,B:Prop. (A B) Prop| Who Cites col? | |
| col |
Def Collection(T) == TProp |
| Thm* T:Type{i'}. col{i:l}(T) Type{i'} | |
| col_add |
Def (a + b)(x) == x a x b |
| Thm* T:Type, a,b:Collection(T). (a + b) Collection(T) | |
| col_member |
Def x c == c(x) |
| Thm* T:Type, x:T, c:Collection(T). x c Prop | |
| iff |
Def P Q == (P Q) & (P Q) |
| Thm* A,B:Prop. (A B) Prop | |
| rev_implies |
Def P Q == Q P |
| Thm* A,B:Prop. (A B) Prop |
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