Nuprl Lemma : oob-hasleft_wf
∀[B,A:Type]. ∀[x:one_or_both(A;B)]. (oob-hasleft(x) ∈ 𝔹)
Proof
Definitions occuring in Statement :
oob-hasleft: oob-hasleft(x),
one_or_both: one_or_both(A;B),
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
oob-hasleft: oob-hasleft(x)
Lemmas referenced :
bor_wf,
oobleft?_wf,
oobboth?_wf,
one_or_both_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache,
universeEquality
Latex:
\mforall{}[B,A:Type]. \mforall{}[x:one\_or\_both(A;B)]. (oob-hasleft(x) \mmember{} \mBbbB{})
Date html generated:
2016_05_15-PM-05_35_34
Last ObjectModification:
2015_12_27-PM-02_07_40
Theory : general
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