Step
*
of Lemma
same-cubical-term-by-cases2
No Annotations
ā[Gamma:jā¢]. ā[phi,psi:{Gamma ā¢ _:š½}]. ā[A:{Gamma ā¢ _}]. ā[a,b:{Gamma, (phi āØ psi) ā¢ _:A}].
(Gamma, (phi āØ psi) ā¢ a=b:A) supposing (Gamma, phi ā¢ a=b:A and Gamma, psi ā¢ a=b:A)
BY
{ (InstLemma `same-cubical-term-by-cases` [] THEN RepeatFor 4 (ParallelLast')) }
Latex:
Latex:
No Annotations
\mforall{}[Gamma:j\mvdash{}]. \mforall{}[phi,psi:\{Gamma \mvdash{} \_:\mBbbF{}\}]. \mforall{}[A:\{Gamma \mvdash{} \_\}]. \mforall{}[a,b:\{Gamma, (phi \mvee{} psi) \mvdash{} \_:A\}].
(Gamma, (phi \mvee{} psi) \mvdash{} a=b:A) supposing (Gamma, phi \mvdash{} a=b:A and Gamma, psi \mvdash{} a=b:A)
By
Latex:
(InstLemma `same-cubical-term-by-cases` [] THEN RepeatFor 4 (ParallelLast'))
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