Allow promoting end-to-end traces too
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@ -54,6 +54,35 @@ Trace-∙ʳ {g₁} {g₂} {idx₁} (Trace-edge ρ₁⇒ρ idx₁→idx tr')
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Trace-edge ρ₁⇒ρ (ListMemProp.∈-++⁺ʳ _ (x∈xs⇒fx∈fxs (Graph.size g₁ ↑ʳ_) idx₁→idx))
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(Trace-∙ʳ tr')
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EndToEndTrace-∙ˡ : ∀ {g₁ g₂ : Graph} {ρ₁ ρ₂ : Env} →
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EndToEndTrace {g₁} ρ₁ ρ₂ →
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EndToEndTrace {g₁ ∙ g₂} ρ₁ ρ₂
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EndToEndTrace-∙ˡ {g₁} {g₂} etr = record
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{ idx₁ = EndToEndTrace.idx₁ etr Fin.↑ˡ Graph.size g₂
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; idx₁∈inputs = ListMemProp.∈-++⁺ˡ (x∈xs⇒fx∈fxs (Fin._↑ˡ Graph.size g₂)
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(EndToEndTrace.idx₁∈inputs etr))
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; idx₂ = EndToEndTrace.idx₂ etr Fin.↑ˡ Graph.size g₂
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; idx₂∈outputs = ListMemProp.∈-++⁺ˡ (x∈xs⇒fx∈fxs (Fin._↑ˡ Graph.size g₂)
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(EndToEndTrace.idx₂∈outputs etr))
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; trace = Trace-∙ˡ (EndToEndTrace.trace etr)
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}
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EndToEndTrace-∙ʳ : ∀ {g₁ g₂ : Graph} {ρ₁ ρ₂ : Env} →
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EndToEndTrace {g₂} ρ₁ ρ₂ →
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EndToEndTrace {g₁ ∙ g₂} ρ₁ ρ₂
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EndToEndTrace-∙ʳ {g₁} {g₂} etr = record
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{ idx₁ = Graph.size g₁ Fin.↑ʳ EndToEndTrace.idx₁ etr
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; idx₁∈inputs = ListMemProp.∈-++⁺ʳ (Graph.inputs g₁ ↑ˡⁱ Graph.size g₂)
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((x∈xs⇒fx∈fxs (Graph.size g₁ Fin.↑ʳ_)
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(EndToEndTrace.idx₁∈inputs etr)))
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; idx₂ = Graph.size g₁ Fin.↑ʳ EndToEndTrace.idx₂ etr
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; idx₂∈outputs = ListMemProp.∈-++⁺ʳ (Graph.outputs g₁ ↑ˡⁱ Graph.size g₂)
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((x∈xs⇒fx∈fxs (Graph.size g₁ Fin.↑ʳ_)
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(EndToEndTrace.idx₂∈outputs etr)))
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; trace = Trace-∙ʳ (EndToEndTrace.trace etr)
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}
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Trace-↦ˡ : ∀ {g₁ g₂ : Graph} {idx₁ idx₂ : Graph.Index g₁} {ρ₁ ρ₂ : Env} →
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Trace {g₁} idx₁ idx₂ ρ₁ ρ₂ →
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Trace {g₁ ↦ g₂} (idx₁ Fin.↑ˡ Graph.size g₂) (idx₂ Fin.↑ˡ Graph.size g₂) ρ₁ ρ₂
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