Step
*
of Lemma
causale-order-preserving_wf
∀[es:EO]. ∀[P:E ─→ ℙ]. ∀[f:{e:E| P[e]} ─→ E]. (e.f[e] is c≤ preserving on e.P[e] ∈ ℙ)
BY
{ (Unfold `causale-order-preserving` 0 THEN Auto)⋅ }
Latex:
\mforall{}[es:EO]. \mforall{}[P:E {}\mrightarrow{} \mBbbP{}]. \mforall{}[f:\{e:E| P[e]\} {}\mrightarrow{} E]. (e.f[e] is c\mleq{} preserving on e.P[e] \mmember{} \mBbbP{})
By
(Unfold `causale-order-preserving` 0 THEN Auto)\mcdot{}
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