Nuprl Lemma : dual-plane-structure_subtype
DualPlaneStructure ⊆r DualPlanePrimitives
Proof
Definitions occuring in Statement :
dual-plane-structure: DualPlaneStructure,
dual-plane-primitives: DualPlanePrimitives,
subtype_rel: A ⊆r B
Definitions unfolded in proof :
subtype_rel: A ⊆r B,
member: t ∈ T,
dual-plane-structure: DualPlaneStructure,
record+: record+,
record-select: r.x,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
btrue: tt,
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
so_apply: x[s],
all: ∀x:A. B[x],
prop: ℙ,
or: P ∨ Q,
implies: P ⇒ Q,
and: P ∧ Q,
exists: ∃x:A. B[x]
Lemmas referenced :
subtype_rel_self,
all_wf,
dp-vec_wf,
sq_stable_wf,
dp-sep_wf,
stable_wf,
dp-perp_wf,
or_wf,
exists_wf,
dual-plane-structure_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaEquality,
sqequalHypSubstitution,
dependentIntersectionElimination,
sqequalRule,
dependentIntersectionEqElimination,
thin,
cut,
hypothesis,
applyEquality,
tokenEquality,
introduction,
extract_by_obid,
isectElimination,
hypothesisEquality,
setEquality,
setElimination,
rename,
functionEquality,
productEquality,
equalityTransitivity,
equalitySymmetry
Latex:
DualPlaneStructure \msubseteq{}r DualPlanePrimitives
Date html generated:
2018_05_21-PM-09_44_48
Last ObjectModification:
2018_05_09-AM-11_47_42
Theory : matrices
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