Nuprl Lemma : bind-zero-left
∀[Info,T,S:Type]. ∀f:T ─→ EClass(S). (Empty >z> f[z] = Empty ∈ EClass(S))
Proof
Definitions occuring in Statement :
bind-class: X >x> Y[x],
es-empty-interface: Empty,
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
so_apply: x[s],
all: ∀x:A. B[x],
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
bind-class_wf,
es-empty-interface_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
eclass_wf,
bag_combine_empty_lemma,
es-le-before_wf2,
list-subtype-bag,
es-le_wf,
bag_wf,
bag-combine-empty-right,
empty-bag_wf
\mforall{}[Info,T,S:Type]. \mforall{}f:T {}\mrightarrow{} EClass(S). (Empty >z> f[z] = Empty)
Date html generated:
2015_07_17-PM-00_44_06
Last ObjectModification:
2015_01_27-PM-11_15_40
Home
Index