Nuprl Lemma : band_tt_simp
∀[u:𝔹]. u ∧b tt = u
Proof
Definitions occuring in Statement :
band: p ∧b q,
btrue: tt,
bool: 𝔹,
uall: ∀[x:A]. B[x],
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
band: p ∧b q,
bool: 𝔹,
unit: Unit,
member: t ∈ T,
it: ⋅,
btrue: tt,
ifthenelse: if b then t else f fi ,
bfalse: ff
Lemmas referenced :
btrue_wf,
bfalse_wf,
bool_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
cut,
sqequalRule,
sqequalHypSubstitution,
unionElimination,
thin,
equalityElimination,
introduction,
extract_by_obid,
hypothesis,
Error :universeIsType
Latex:
\mforall{}[u:\mBbbB{}]. u \mwedge{}\msubb{} tt = u
Date html generated:
2019_06_20-AM-11_31_02
Last ObjectModification:
2018_09_26-AM-11_14_53
Theory : bool_1
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