---

Step * of Lemma path-type-subtype

No Annotations
∀[X:j⊢]. ∀[A:{X ⊢ _}]. ∀[a,b:{X ⊢ _:A}].  ({X ⊢ _:(Path_A a b)} ⊆r {X ⊢ _:Path(A)})
BY
{ (Auto
   THEN (D 0 THENA Auto)
   THEN D -1
   THEN MemTypeCD
   THEN Auto
   THEN (InstHyp [⌜I⌝;⌜J⌝;⌜f⌝;⌜a1⌝] (-5)⋅ THEN Auto)
   THEN SubsumeC ⌜(Path_A a b)(f(a1))⌝⋅
   THEN Auto) }

---

Latex:

---

Latex:
No  Annotations
\mforall{}[X:j\mvdash{}].  \mforall{}[A:\{X  \mvdash{}  \_\}].  \mforall{}[a,b:\{X  \mvdash{}  \_:A\}].    (\{X  \mvdash{}  \_:(Path\_A  a  b)\}  \msubseteq{}r  \{X  \mvdash{}  \_:Path(A)\})


By

---

Latex:
(Auto
  THEN  (D  0  THENA  Auto)
  THEN  D  -1
  THEN  MemTypeCD
  THEN  Auto
  THEN  (InstHyp  [\mkleeneopen{}I\mkleeneclose{};\mkleeneopen{}J\mkleeneclose{};\mkleeneopen{}f\mkleeneclose{};\mkleeneopen{}a1\mkleeneclose{}]  (-5)\mcdot{}  THEN  Auto)
  THEN  SubsumeC  \mkleeneopen{}(Path\_A  a  b)(f(a1))\mkleeneclose{}\mcdot{}
  THEN  Auto)

---

Home Index