Nuprl Lemma : int-list-member_wf
∀i:ℤ. ∀xs:ℤ List. (int-list-member(i;xs) ∈ 𝔹)
Proof
Definitions occuring in Statement :
int-list-member: int-list-member(i;xs),
list: T List,
bool: 𝔹,
all: ∀x:A. B[x],
member: t ∈ T,
int: ℤ
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
int-list-member: int-list-member(i;xs),
uall: ∀[x:A]. B[x]
Lemmas referenced :
reduce_wf,
bool_wf,
bor_wf,
eq_int_wf,
bfalse_wf,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
intEquality,
hypothesis,
lambdaEquality,
hypothesisEquality
Latex:
\mforall{}i:\mBbbZ{}. \mforall{}xs:\mBbbZ{} List. (int-list-member(i;xs) \mmember{} \mBbbB{})
Date html generated:
2016_05_15-PM-04_22_46
Last ObjectModification:
2015_12_27-PM-02_53_34
Theory : general
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