Nuprl Lemma : istype-int_formula_prop
∀[f:ℤ ⟶ ℤ]. ∀[fmla:int_formula()]. istype(int_formula_prop(f;fmla))
Proof
Definitions occuring in Statement :
int_formula_prop: int_formula_prop(f;fmla),
int_formula: int_formula(),
istype: istype(T),
uall: ∀[x:A]. B[x],
function: x:A ⟶ B[x],
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
prop: ℙ
Lemmas referenced :
int_formula_prop_wf,
int_formula_wf,
istype-int
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
Error :universeIsType,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
Error :functionIsType,
Error :inhabitedIsType
Latex:
\mforall{}[f:\mBbbZ{} {}\mrightarrow{} \mBbbZ{}]. \mforall{}[fmla:int\_formula()]. istype(int\_formula\_prop(f;fmla))
Date html generated:
2019_06_20-PM-00_46_39
Last ObjectModification:
2018_10_04-PM-00_52_33
Theory : omega
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