Nuprl Lemma : req_int_terms_wf
∀[t1,t2:int_term()]. (t1 ≡ t2 ∈ ℙ)
Proof
Definitions occuring in Statement :
req_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,
req_int_terms: t1 ≡ t2,
so_lambda: λ2x.t[x],
so_apply: x[s]
Lemmas referenced :
all_wf,
real_wf,
req_wf,
real_term_value_wf,
int_term_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
functionEquality,
intEquality,
hypothesis,
lambdaEquality,
functionExtensionality,
applyEquality,
hypothesisEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[t1,t2:int\_term()]. (t1 \mequiv{} t2 \mmember{} \mBbbP{})
Date html generated:
2017_10_02-PM-07_18_20
Last ObjectModification:
2017_04_02-PM-00_39_39
Theory : reals
Home
Index