Nuprl Lemma : mFO-Kripke-struct_wf
mKripkeStruct ∈ 𝕌'
Proof
Definitions occuring in Statement : 
mFO-Kripke-struct: mKripkeStruct
, 
member: t ∈ T
, 
universe: Type
Definitions unfolded in proof : 
mFO-Kripke-struct: mKripkeStruct
, 
member: t ∈ T
, 
prop: ℙ
, 
uall: ∀[x:A]. B[x]
, 
spreadn: spread4, 
so_lambda: λ2x.t[x]
, 
implies: P 
⇒ Q
, 
subtype_rel: A ⊆r B
, 
and: P ∧ Q
, 
FOStruct: FOStruct(Dom)
, 
uimplies: b supposing a
, 
so_apply: x[s]
, 
all: ∀x:A. B[x]
Lemmas referenced : 
FOStruct_wf, 
all_wf, 
subtype_rel_self, 
subtype_rel_wf, 
list_wf, 
subtype_rel_list, 
istype-atom
Rules used in proof : 
sqequalSubstitution, 
sqequalRule, 
sqequalReflexivity, 
sqequalTransitivity, 
computationStep, 
setEquality, 
productEquality, 
closedConclusion, 
universeEquality, 
functionEquality, 
cumulativity, 
hypothesisEquality, 
because_Cache, 
cut, 
introduction, 
extract_by_obid, 
sqequalHypSubstitution, 
isectElimination, 
thin, 
applyEquality, 
hypothesis, 
productElimination, 
lambdaEquality_alt, 
instantiate, 
atomEquality, 
independent_isectElimination, 
universeIsType, 
inhabitedIsType, 
equalityTransitivity, 
equalitySymmetry
Latex:
mKripkeStruct  \mmember{}  \mBbbU{}'
Date html generated:
2019_10_16-AM-11_43_55
Last ObjectModification:
2018_10_12-PM-09_52_47
Theory : minimal-first-order-logic
Home
Index