---

Step * 1 1 of Lemma set_lt_complement


1. s : LOSet
2. a : |s|
3. b : |s|
⊢ uiff(¬strict_part(x,y.x ≤ y;b;a);a ≤ b)
BY
{ (InstLemma `ulinorder_lt_neg` [⌜|s|⌝;⌜λ2x y.x ≤ y⌝;⌜b⌝;⌜a⌝]⋅ THEN Auto) }

1
.....antecedent..... 
1. s : LOSet
2. a : |s|
3. b : |s|
⊢ UniformLinorder(|s|;x,y.x ≤ y)

---

Latex:

---

Latex:

1.  s  :  LOSet
2.  a  :  |s|
3.  b  :  |s|
\mvdash{}  uiff(\mneg{}strict\_part(x,y.x  \mleq{}  y;b;a);a  \mleq{}  b)


By

---

Latex:
(InstLemma  `ulinorder\_lt\_neg`  [\mkleeneopen{}|s|\mkleeneclose{};\mkleeneopen{}\mlambda{}\msubtwo{}x  y.x  \mleq{}  y\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{}]\mcdot{}  THEN  Auto)

---

Home Index