Step
*
1
of Lemma
mset_union_bor_mon_hom
1. s : DSet@i'
2. x : |s|@i
3. a1 : MSet{s}
4. a2 : MSet{s}
⊢ x ∈b a1 ⋃ a2 = (x ∈b a1) ∨b(x ∈b a2)
BY
{ ((BLemma `fset_mem_union`) THEN Auto) }
Latex:
Latex:
1. s : DSet@i'
2. x : |s|@i
3. a1 : MSet\{s\}
4. a2 : MSet\{s\}
\mvdash{} x \mmember{}\msubb{} a1 \mcup{} a2 = (x \mmember{}\msubb{} a1) \mvee{}\msubb{}(x \mmember{}\msubb{} a2)
By
Latex:
((BLemma `fset\_mem\_union`) THEN Auto)
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