Nuprl Lemma : stable__req-vec
∀n:ℕ. ∀x,y:ℝ^n. Stable{req-vec(n;x;y)}
Proof
Definitions occuring in Statement :
req-vec: req-vec(n;x;y),
real-vec: ℝ^n,
nat: ℕ,
stable: Stable{P},
all: ∀x:A. B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
req-vec: req-vec(n;x;y),
uall: ∀[x:A]. B[x],
member: t ∈ T,
nat: ℕ,
so_lambda: λ2x.t[x],
real-vec: ℝ^n,
so_apply: x[s],
implies: P ⇒ Q
Lemmas referenced :
stable__all,
int_seg_wf,
req_wf,
stable_req,
real-vec_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
natural_numberEquality,
setElimination,
rename,
hypothesisEquality,
hypothesis,
sqequalRule,
lambdaEquality,
applyEquality,
because_Cache,
independent_functionElimination
Latex:
\mforall{}n:\mBbbN{}. \mforall{}x,y:\mBbbR{}\^{}n. Stable\{req-vec(n;x;y)\}
Date html generated:
2016_10_26-AM-10_14_18
Last ObjectModification:
2016_09_26-PM-00_48_22
Theory : reals
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