Nuprl Lemma : istype-assert
∀[b:𝔹]. istype(↑b)
Proof
Definitions occuring in Statement :
assert: ↑b,
bool: 𝔹,
istype: istype(T),
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
prop: ℙ
Lemmas referenced :
assert_wf,
bool_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
Error :universeIsType,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis
Latex:
\mforall{}[b:\mBbbB{}]. istype(\muparrow{}b)
Date html generated:
2019_06_20-AM-11_19_56
Last ObjectModification:
2018_10_10-PM-07_02_28
Theory : union
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