Step
*
of Lemma
rat-cube-face-decider_wf
∀k:ℕ. ∀c,d:ℚCube(k). (rat-cube-face-decider(k;c;d) ∈ Dec(c ≤ d))
BY
{ (Auto
THEN (Subst' rat-cube-face-decider(k;c;d) ~ TERMOF{decidable__rat-cube-face-ext:o, \\v:l} k c d 0 THENA Computation)
THEN Auto) }
Latex:
Latex:
\mforall{}k:\mBbbN{}. \mforall{}c,d:\mBbbQ{}Cube(k). (rat-cube-face-decider(k;c;d) \mmember{} Dec(c \mleq{} d))
By
Latex:
(Auto
THEN (Subst' rat-cube-face-decider(k;c;d) \msim{} TERMOF\{decidable\_\_rat-cube-face-ext:o, \mbackslash{}\mbackslash{}v:l\} k c d 0
THENA Computation
)
THEN Auto)
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