Nuprl Lemma : s-group-structure_wf
s-GroupStructure ∈ 𝕌'
Proof
Definitions occuring in Statement :
s-group-structure: s-GroupStructure,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
s-group-structure: s-GroupStructure,
member: t ∈ T,
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
so_apply: x[s],
record+: record+,
record-select: r.x,
subtype_rel: A ⊆r B,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
btrue: tt,
implies: P ⇒ Q,
prop: ℙ,
or: P ∨ Q,
all: ∀x:A. B[x]
Lemmas referenced :
separation-space_wf,
record+_wf,
ss-point_wf,
subtype_rel_self,
all_wf,
ss-sep_wf,
or_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
introduction,
extract_by_obid,
hypothesis,
sqequalHypSubstitution,
isectElimination,
thin,
equalityTransitivity,
equalitySymmetry,
sqequalRule,
lambdaEquality,
cumulativity,
hypothesisEquality,
tokenEquality,
dependentIntersectionElimination,
applyEquality,
functionEquality,
dependentIntersectionEqElimination,
because_Cache,
functionExtensionality,
universeEquality
Latex:
s-GroupStructure \mmember{} \mBbbU{}'
Date html generated:
2017_10_02-PM-03_24_26
Last ObjectModification:
2017_06_23-AM-11_09_33
Theory : constructive!algebra
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