Step
*
of Lemma
subtype_rel_record+_easy
∀[T1,T2:𝕌']. ∀[B:T2 ⟶ 𝕌'].  ∀[z:Atom]. (T1; z:B[self] ⊆r T2; z:B[self]) supposing T1 ⊆r T2
BY
{ (InstLemma `subtype_rel_record+` [] THEN RepeatFor 2 (ParallelLast') THEN Auto THEN BHyp 3  THEN Auto) }
Latex:
Latex:
\mforall{}[T1,T2:\mBbbU{}'].  \mforall{}[B:T2  {}\mrightarrow{}  \mBbbU{}'].    \mforall{}[z:Atom].  (T1;  z:B[self]  \msubseteq{}r  T2;  z:B[self])  supposing  T1  \msubseteq{}r  T2
By
Latex:
(InstLemma  `subtype\_rel\_record+`  []
  THEN  RepeatFor  2  (ParallelLast')
  THEN  Auto
  THEN  BHyp  3 
  THEN  Auto)
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