{ 
[Info:Type]. [es:EO+(Info)]. [Qa,Rb:E 
E 
]. [A,B:Type].
[Ia:EClass(A)]. [Ib:EClass(B)]. [f:E(Ia) B]. [g:E(Ib) E].
g 
E(Ib) E(Ia) supposing g glues Ia:Qa f Ib:Rb }
{ Proof }
Definitions occuring in Statement :
Q-R-glues: g glues Ia:Qa f Ib:Rb,
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uimplies: b supposing a,
uall: [x:A]. B[x],
prop: ,
member: t T,
function: x:A B[x],
universe: Type
Definitions :
uall: [x:A]. B[x],
prop: ,
uimplies: b supposing a,
member: t T,
so_lambda: 
x y.t[x; y],
Q-R-glues: g glues Ia:Qa f Ib:Rb,
and: P 
Q,
es-interface-predicate: {I},
all: x:A. B[x],
cand: A c B,
so_apply: x[s1;s2],
subtype: S 
T,
es-E-interface: E(X)
Lemmas :
weak-antecedent-surjection-property,
event-ordering+_inc,
es-interface-predicate_wf,
Q-R-glues_wf,
es-E-interface_wf,
es-interface-top,
es-E_wf,
eclass_wf,
event-ordering+_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[Qa,Rb:E {}\mrightarrow{} E {}\mrightarrow{} \mBbbP{}]. \mforall{}[A,B:Type]. \mforall{}[Ia:EClass(A)]. \mforall{}[Ib:EClass(B)].
\mforall{}[f:E(Ia) {}\mrightarrow{} B]. \mforall{}[g:E(Ib) {}\mrightarrow{} E].
g \mmember{} E(Ib) {}\mrightarrow{} E(Ia) supposing g glues Ia:Qa {}{}f{}\mrightarrow{} Ib:Rb
Date html generated:
2011_08_16-PM-05_57_17
Last ObjectModification:
2011_06_20-AM-01_40_08
Home
Index