Nuprl Lemma : add_mono_wrt_eq_rw
∀[a,b,n:ℤ]. {uiff(a = b ∈ ℤ;(a + n) = (b + n) ∈ ℤ)}
Proof
Definitions occuring in Statement :
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
guard: {T},
add: n + m,
int: ℤ,
equal: s = t ∈ T
Definitions unfolded in proof :
guard: {T}
Lemmas referenced :
add_mono_wrt_eq
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lemma_by_obid
Latex:
\mforall{}[a,b,n:\mBbbZ{}]. \{uiff(a = b;(a + n) = (b + n))\}
Date html generated:
2016_05_13-PM-03_39_54
Last ObjectModification:
2015_12_26-AM-09_40_40
Theory : arithmetic
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