Nuprl Lemma : ite-same
∀[b:𝔹]. ∀[x:Top]. (if b then x else x fi ~ x)
Proof
Definitions occuring in Statement :
ifthenelse: if b then t else f fi ,
bool: 𝔹,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
ifthenelse: if b then t else f fi ,
bfalse: ff
Latex:
\mforall{}[b:\mBbbB{}]. \mforall{}[x:Top]. (if b then x else x fi \msim{} x)
Date html generated:
2016_05_16-AM-10_24_08
Last ObjectModification:
2015_12_28-PM-09_19_28
Theory : new!event-ordering
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