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
Lemmas :
top_wf,
bool_wf,
equal-wf-T-base,
assert_wf,
bnot_wf,
not_wf,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot
\mforall{}[b:\mBbbB{}]. \mforall{}[x:Top]. (if b then x else x fi \msim{} x)
Date html generated:
2015_07_17-AM-09_05_18
Last ObjectModification:
2015_01_27-PM-00_52_45
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