Step
*
of Lemma
imax-list-unique2
∀L:ℤ List. ∀a:ℤ. uiff((||L|| > 0) ∧ (imax-list(L) = a ∈ ℤ);(∀b∈L.b ≤ a) ∧ (a ∈ L))
BY
{ ((UnivCD THENA Auto)
THEN D 0
THEN (D 0 THENA Auto)
THEN Auto
THEN Try ((BLemma `imax-list-unique` THEN Auto))
THEN BLemma `imax-list-eq-implies`
THEN Auto) }
Latex:
Latex:
\mforall{}L:\mBbbZ{} List. \mforall{}a:\mBbbZ{}. uiff((||L|| > 0) \mwedge{} (imax-list(L) = a);(\mforall{}b\mmember{}L.b \mleq{} a) \mwedge{} (a \mmember{} L))
By
Latex:
((UnivCD THENA Auto)
THEN D 0
THEN (D 0 THENA Auto)
THEN Auto
THEN Try ((BLemma `imax-list-unique` THEN Auto))
THEN BLemma `imax-list-eq-implies`
THEN Auto)
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