Step
*
of Lemma
coW-pos-agree_wf
∀[A:𝕌']. ∀[B:A ⟶ Type]. ∀[w,w':coW(A;a.B[a])]. ∀[p,q:Pos(coW-game(a.B[a];w;w'))]. (coW-pos-agree(a.B[a];w;w';p;q) ∈ ℙ)
BY
{ Auto }
Latex:
Latex:
\mforall{}[A:\mBbbU{}']. \mforall{}[B:A {}\mrightarrow{} Type]. \mforall{}[w,w':coW(A;a.B[a])]. \mforall{}[p,q:Pos(coW-game(a.B[a];w;w'))].
(coW-pos-agree(a.B[a];w;w';p;q) \mmember{} \mBbbP{})
By
Latex:
Auto
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