Nuprl Lemma : rv-be-inner-trans
∀a,b,c,d:ℝ^2. (a_b_d ⇒ b_c_d ⇒ a_b_c)
Proof
Definitions occuring in Statement :
rv-be: a_b_c,
real-vec: ℝ^n,
all: ∀x:A. B[x],
implies: P ⇒ Q,
natural_number: $n
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
nat: ℕ,
le: A ≤ B,
and: P ∧ Q,
less_than': less_than'(a;b),
not: ¬A,
implies: P ⇒ Q,
false: False,
uall: ∀[x:A]. B[x],
prop: ℙ,
rv-be: a_b_c,
or: P ∨ Q,
stable: Stable{P},
uimplies: b supposing a,
cand: A c∧ B,
uiff: uiff(P;Q),
rev_implies: P ⇐ Q,
iff: P ⇐⇒ Q,
rv-between: a-b-c
Latex:
\mforall{}a,b,c,d:\mBbbR{}\^{}2. (a\_b\_d {}\mRightarrow{} b\_c\_d {}\mRightarrow{} a\_b\_c)
Date html generated:
2020_05_20-PM-00_55_50
Last ObjectModification:
2020_01_06-PM-00_07_49
Theory : reals
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