Step
*
of Lemma
strong-subtype-eq4
∀[A,B:Type]. ∀[b:B]. ∀[a:A]. {b = a ∈ B supposing b = a ∈ A} supposing strong-subtype(B;A)
BY
{ (Unfold `guard` 0 THEN Auto THEN Try ((DoSubsume THEN Auto))) }
1
1. A : Type
2. B : Type
3. b : B
4. a : A
5. strong-subtype(B;A)
6. b = a ∈ A
⊢ b = a ∈ B
Latex:
Latex:
\mforall{}[A,B:Type]. \mforall{}[b:B]. \mforall{}[a:A]. \{b = a supposing b = a\} supposing strong-subtype(B;A)
By
Latex:
(Unfold `guard` 0 THEN Auto THEN Try ((DoSubsume THEN Auto)))
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