Nuprl Lemma : equiv_int_terms_wf
∀[t1,t2:int_term()]. (t1 ≡ t2 ∈ ℙ)
Proof
Definitions occuring in Statement :
equiv_int_terms: t1 ≡ t2,
int_term: int_term(),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
equiv_int_terms: t1 ≡ t2,
so_lambda: λ2x.t[x],
so_apply: x[s]
Lemmas referenced :
all_wf,
equal_wf,
int_term_value_wf,
int_term_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
functionEquality,
intEquality,
lambdaEquality,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[t1,t2:int\_term()]. (t1 \mequiv{} t2 \mmember{} \mBbbP{})
Date html generated:
2016_05_14-AM-06_59_44
Last ObjectModification:
2015_12_26-PM-01_12_45
Theory : omega
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