Nuprl Lemma : add_mono_wrt_le_rw
∀[a,b,n:ℤ]. {uiff(a ≤ b;(a + n) ≤ (b + n))}
Proof
Definitions occuring in Statement :
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
guard: {T},
le: A ≤ B,
add: n + m,
int: ℤ
Definitions unfolded in proof :
guard: {T}
Lemmas referenced :
add_mono_wrt_le
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lemma_by_obid
Latex:
\mforall{}[a,b,n:\mBbbZ{}]. \{uiff(a \mleq{} b;(a + n) \mleq{} (b + n))\}
Date html generated:
2016_05_13-PM-03_40_07
Last ObjectModification:
2015_12_26-AM-09_40_30
Theory : arithmetic
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