Nuprl Lemma : rat-complex-iter-subdiv_wf
∀[k,n:ℕ]. ∀[K:n-dim-complex]. ∀[j:ℕ]. (K'^(j) ∈ n-dim-complex)
Proof
Definitions occuring in Statement :
rat-complex-iter-subdiv: K'^(n),
rational-cube-complex: n-dim-complex,
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
rat-complex-iter-subdiv: K'^(n),
nat: ℕ
Lemmas referenced :
primrec_wf,
rational-cube-complex_wf,
rat-complex-subdiv_wf,
int_seg_wf,
istype-nat
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
lambdaEquality_alt,
because_Cache,
universeIsType,
natural_numberEquality,
setElimination,
rename,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
inhabitedIsType,
isect_memberEquality_alt,
isectIsTypeImplies
Latex:
\mforall{}[k,n:\mBbbN{}]. \mforall{}[K:n-dim-complex]. \mforall{}[j:\mBbbN{}]. (K'\^{}(j) \mmember{} n-dim-complex)
Date html generated:
2020_05_20-AM-09_24_16
Last ObjectModification:
2019_10_31-AM-10_05_08
Theory : rationals
Home
Index