Step * 1 of Lemma qadd_grp_wf2


<ℚ+> ∈ OCMon
BY
TACTIC:(MemTypeCD THENW Auto) }

1
<ℚ+> ∈ AbMon

2
.....set predicate..... 
(UniformLinorder(|<ℚ+>|;x,y.↑(x ≤b y)) ∧ (=b x,y. ((x ≤b y) ∧b (y ≤b x))) ∈ (|<ℚ+>| ⟶ |<ℚ+>| ⟶ 𝔹)))
∧ Cancel(|<ℚ+>|;|<ℚ+>|;*)
∧ (∀[z:|<ℚ+>|]. monot(|<ℚ+>|;x,y.↑(x ≤b y);λw.(z w)))


Latex:


Latex:

<\mBbbQ{}+>  \mmember{}  OCMon


By


Latex:
TACTIC:(MemTypeCD  THENW  Auto)




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