{ 
[sub1,sub2:Top]. [st:SimpleType].
(st-subst(sub2;st-subst(sub1;st)) ~ st-subst(
a.st-subst(sub2;sub1 a);st)) }
{ Proof }
Definitions occuring in Statement :
st-subst: st-subst(subst;st),
simple_type: SimpleType,
uall: [x:A]. B[x],
top: Top,
apply: f a,
lambda: x.A[x],
sqequal: s ~ t
Definitions :
simple_type_ind_st_class: simple_type_ind_st_class_compseq_tag_def,
simple_type_ind_st_list: simple_type_ind_st_list_compseq_tag_def,
simple_type_ind_st_union: simple_type_ind_st_union_compseq_tag_def,
base: Base,
implies: P 
Q,
sq_type: SQType(T),
so_lambda: so_lambda(x,y,z,w.t[x; y; z; w]),
so_lambda: 
x y.t[x; y],
simple_type_ind_st_prod: simple_type_ind_st_prod_compseq_tag_def,
st_class: st_class(kind),
st_list: st_list(kind),
st_union: st_union(left;right),
st_prod: st_prod(fst;snd),
st_const: st_const(ty),
st_arrow: st_arrow(domain;range),
simple_type_ind: simple_type_ind,
simple_type_ind_st_arrow: simple_type_ind_st_arrow_compseq_tag_def,
simple_type_ind_st_const: simple_type_ind_st_const_compseq_tag_def,
simple_type_ind_st_var: simple_type_ind_st_var_compseq_tag_def,
lambda: x.A[x],
st-subst: st-subst(subst;st),
inr: inr x ,
eclass: EClass(A[eo; e]),
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
le: A 
B,
ge: i 
j ,
not: 
A,
less_than: a < b,
uimplies: b supposing a,
and: P 
Q,
uiff: uiff(P;Q),
subtype_rel: A 
r B,
product: x:A 
B[x],
decision: Decision,
set: {x:A| B[x]} ,
apply: f a,
rec: rec(x.A[x]),
inl: inl x ,
atom: Atom,
union: left + right,
function: x:A 
B[x],
all: x:A. B[x],
equal: s = t,
so_lambda: x.t[x],
prop: 
,
universe: Type,
sqequal: s ~ t,
top: Top,
uall: [x:A]. B[x],
isect: 
x:A. B[x],
simple_type: SimpleType,
member: t 
T,
Auto: Error :Auto,
CollapseTHEN: Error :CollapseTHEN,
D: Error :D,
CollapseTHENA: Error :CollapseTHENA,
RepeatFor: Error :RepeatFor,
tactic: Error :tactic
Lemmas :
union_subtype_base,
atom_subtype_base,
subtype_rel_wf,
base_wf,
rec_subtype_base,
subtype_base_sq,
simple_type_wf,
st_list_wf,
product_subtype_base,
st_union_wf,
st_prod_wf,
member_wf,
uall_wf,
top_wf,
st_class_wf
\mforall{}[sub1,sub2:Top]. \mforall{}[st:SimpleType].
(st-subst(sub2;st-subst(sub1;st)) \msim{} st-subst(\mlambda{}a.st-subst(sub2;sub1 a);st))
Date html generated:
2011_08_17-PM-04_54_00
Last ObjectModification:
2011_02_06-PM-08_33_55
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