Nuprl Lemma : dual-plane-structure_wf
DualPlaneStructure ∈ 𝕌'
Proof
Definitions occuring in Statement :
dual-plane-structure: DualPlaneStructure,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
dual-plane-structure: DualPlaneStructure,
member: t ∈ T,
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
so_apply: x[s],
subtype_rel: A ⊆r B,
prop: ℙ,
record+: record+,
and: P ∧ Q
Lemmas referenced :
dual-plane-primitives_wf,
all_wf,
dp-vec_wf,
sq_stable_wf,
dp-sep_wf,
record+_wf,
stable_wf,
dp-perp_wf,
or_wf,
sq_exists_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
introduction,
extract_by_obid,
hypothesis,
lambdaFormation_alt,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
sqequalRule,
lambdaEquality_alt,
because_Cache,
inhabitedIsType,
universeIsType,
applyEquality,
cumulativity,
equalityTransitivity,
equalitySymmetry,
dependent_functionElimination,
tokenEquality,
dependentIntersectionElimination,
dependentIntersectionEqElimination,
setEquality,
setElimination,
rename,
setIsType,
productEquality
Latex:
DualPlaneStructure \mmember{} \mBbbU{}'
Date html generated:
2019_10_16-AM-11_29_27
Last ObjectModification:
2018_10_10-AM-10_15_30
Theory : matrices
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