Step
*
1
of Lemma
imax-list-subset
1. L : ℤ List
2. L' : ℤ List
3. 0 < ||L||
4. l_subset(ℤ;L;L')
5. 0 < ||L'||
⊢ (∀b∈L.b ≤ imax-list(L'))
BY
{ ((RWO "l_all_iff" 0 THEN Auto) THEN BLemma `imax-list-ub` THEN Auto)⋅ }
1
1. L : ℤ List
2. L' : ℤ List
3. 0 < ||L||
4. l_subset(ℤ;L;L')
5. 0 < ||L'||
6. b : ℤ@i
7. (b ∈ L)@i
⊢ (∃b1∈L'. b ≤ b1)
Latex:
Latex:
1. L : \mBbbZ{} List
2. L' : \mBbbZ{} List
3. 0 < ||L||
4. l\_subset(\mBbbZ{};L;L')
5. 0 < ||L'||
\mvdash{} (\mforall{}b\mmember{}L.b \mleq{} imax-list(L'))
By
Latex:
((RWO "l\_all\_iff" 0 THEN Auto) THEN BLemma `imax-list-ub` THEN Auto)\mcdot{}
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