Nuprl Lemma : rabs-difference-symmetry
∀[x,y:ℝ]. (|x - y| = |y - x|)
Proof
Definitions occuring in Statement :
rabs: |x|,
rsub: x - y,
req: x = y,
real: ℝ,
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
squash: ↓T,
prop: ℙ,
true: True,
subtype_rel: A ⊆r B,
uimplies: b supposing a,
guard: {T},
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
uiff: uiff(P;Q),
rev_uimplies: rev_uimplies(P;Q),
all: ∀x:A. B[x],
req_int_terms: t1 ≡ t2,
false: False,
not: ¬A
Latex:
\mforall{}[x,y:\mBbbR{}]. (|x - y| = |y - x|)
Date html generated:
2020_05_20-AM-10_56_08
Last ObjectModification:
2020_01_06-PM-00_27_06
Theory : reals
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