i,j:
. i > j 
Prop| j
i }i:. {...i} TypeP:(A
Prop). (j:A. (k:A. R(k;j) 
P(k)) P(j)) {n:A. P(n)}A:Type{i}, r:(AAProp{i}). WellFnd{i}(A;x,y.r(x,y)) Prop{i'}B == 
B < Ai,j:. ij PropA == A FalseA:Prop. (A) Prop| Who Cites gt? | |
| gt | Def i > j == j < i |
| Thm* i,j:. i > j Prop | |
| int_lower |
Def {...i} == {j:| ji } |
| Thm* i:. {...i} Type | |
| wellfounded |
Def WellFnd{i}(A;x,y.R(x;y))
== P:(AProp). (j:A. (k:A. R(k;j) P(k)) P(j)) {n:A. P(n)} |
| Thm* A:Type{i}, r:(AAProp{i}). WellFnd{i}(A;x,y.r(x,y)) Prop{i'} | |
| le |
Def AB == B < A |
| Thm* i,j:. ij Prop | |
| not |
Def A == A False |
| Thm* A:Prop. (A) Prop |
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