Nuprl Lemma : sq_stable__proj-eq
∀[n:ℕ]. ∀[a,b:ℙ^n]. SqStable(a = b)
Proof
Definitions occuring in Statement :
proj-eq: a = b,
real-proj: ℙ^n,
nat: ℕ,
sq_stable: SqStable(P),
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
proj-eq: a = b,
nat: ℕ,
so_lambda: λ2x.t[x],
real-proj: ℙ^n,
real-vec: ℝ^n,
so_apply: x[s],
implies: P ⇒ Q,
all: ∀x:A. B[x],
sq_stable: SqStable(P),
prop: ℙ
Lemmas referenced :
sq_stable__all,
int_seg_wf,
all_wf,
req_wf,
rmul_wf,
sq_stable__req,
req_witness,
squash_wf,
proj-eq_wf,
real-proj_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
natural_numberEquality,
addEquality,
setElimination,
rename,
hypothesisEquality,
hypothesis,
sqequalRule,
lambdaEquality,
because_Cache,
applyEquality,
independent_functionElimination,
lambdaFormation,
dependent_functionElimination,
isect_memberEquality
Latex:
\mforall{}[n:\mBbbN{}]. \mforall{}[a,b:\mBbbP{}\^{}n]. SqStable(a = b)
Date html generated:
2017_10_05-AM-00_18_08
Last ObjectModification:
2017_06_17-AM-10_07_20
Theory : inner!product!spaces
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