Step
*
1
of Lemma
sub-system_weakening
1. [M] : Type ─→ Type
2. S3 : component(P.M[P]) List@i
3. S4 : LabeledDAG(pInTransit(P.M[P]))@i
4. S5 : component(P.M[P]) List@i
5. S6 : LabeledDAG(pInTransit(P.M[P]))@i
6. S3 = S5 ∈ (component(P.M[P]) List)
7. S4 = S6 ∈ LabeledDAG(pInTransit(P.M[P]))
8. S3 ⊆ S5
⊢ S6 ⊆ S6
BY
{ EAuto 1 }
Latex:
Latex:
1. [M] : Type {}\mrightarrow{} Type
2. S3 : component(P.M[P]) List@i
3. S4 : LabeledDAG(pInTransit(P.M[P]))@i
4. S5 : component(P.M[P]) List@i
5. S6 : LabeledDAG(pInTransit(P.M[P]))@i
6. S3 = S5
7. S4 = S6
8. S3 \msubseteq{} S5
\mvdash{} S6 \msubseteq{} S6
By
Latex:
EAuto 1
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