Nuprl Lemma : satisfiable_int_formula_wf
∀[fmla:int_formula()]. (satisfiable_int_formula(fmla) ∈ ℙ)
Proof
Definitions occuring in Statement :
satisfiable_int_formula: satisfiable_int_formula(fmla),
int_formula: int_formula(),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
satisfiable_int_formula: satisfiable_int_formula(fmla),
so_lambda: λ2x.t[x],
so_apply: x[s]
Lemmas referenced :
exists_wf,
int_formula_prop_wf,
int_formula_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
Latex:
\mforall{}[fmla:int\_formula()]. (satisfiable\_int\_formula(fmla) \mmember{} \mBbbP{})
Date html generated:
2016_05_14-AM-07_07_46
Last ObjectModification:
2015_12_26-PM-01_08_27
Theory : omega
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