Nuprl Lemma : qless_transitivity
∀[a,b,c:ℚ]. (a < c) supposing (b < c and a < b)
Proof
Definitions occuring in Statement :
qless: r < s,
rationals: ℚ,
uimplies: b supposing a,
uall: ∀[x:A]. B[x]
Lemmas referenced :
qless_trans_qorder
Rules used in proof :
cut,
lemma_by_obid,
hypothesis
Latex:
\mforall{}[a,b,c:\mBbbQ{}]. (a < c) supposing (b < c and a < b)
Date html generated:
2016_05_15-PM-10_45_11
Last ObjectModification:
2015_12_27-PM-07_53_47
Theory : rationals
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