Nuprl Lemma : rabs_functionality
∀[x,y:ℝ]. |x| = |y| supposing x = y
Proof
Definitions occuring in Statement :
rabs: |x|,
req: x = y,
real: ℝ,
uimplies: b supposing a,
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
stable: Stable{P},
not: ¬A,
prop: ℙ,
or: P ∨ Q,
implies: P ⇒ Q,
uiff: uiff(P;Q),
and: P ∧ Q,
rev_uimplies: rev_uimplies(P;Q),
false: False
Latex:
\mforall{}[x,y:\mBbbR{}]. |x| = |y| supposing x = y
Date html generated:
2020_05_20-AM-10_55_53
Last ObjectModification:
2020_01_06-PM-00_27_10
Theory : reals
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