Nuprl Lemma : es-fix-connected
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[f:E(X) ─→ E(X)].
∀[e,a:E(X)]. f**(a) = f**(e) ∈ E(X) supposing a is f*(e) supposing ∀x:E(X). f x c≤ x
Proof
Definitions occuring in Statement :
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-fix: f**(e),
es-causle: e c≤ e',
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
apply: f a,
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T,
fun-connected: y is f*(x)
Lemmas :
fun-connected_wf,
es-E-interface_wf,
all_wf,
es-causle_wf,
event-ordering+_subtype,
eclass_wf,
top_wf,
es-E_wf,
event-ordering+_wf,
fix-connected,
es-eq_wf-interface,
es-causle-interface-retraction
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[f:E(X) {}\mrightarrow{} E(X)].
\mforall{}[e,a:E(X)]. f**(a) = f**(e) supposing a is f*(e) supposing \mforall{}x:E(X). f x c\mleq{} x
Date html generated:
2015_07_17-PM-01_00_42
Last ObjectModification:
2015_01_27-PM-10_41_46
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