Nuprl Lemma : eq_int-wf-bar
∀[x,y:partial(Base)].  ((x =z y) ∈ bar(𝔹))
Proof
Definitions occuring in Statement : 
bar: bar(T)
, 
partial: partial(T)
, 
eq_int: (i =z j)
, 
bool: 𝔹
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
base: Base
Definitions unfolded in proof : 
bar: bar(T)
Lemmas referenced : 
eq_int-wf-partial
Rules used in proof : 
cut, 
lemma_by_obid, 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
hypothesis
Latex:
\mforall{}[x,y:partial(Base)].    ((x  =\msubz{}  y)  \mmember{}  bar(\mBbbB{}))
Date html generated:
2016_07_08-PM-05_18_47
Last ObjectModification:
2016_01_06-AM-00_37_52
Theory : bar!type
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