Step
*
of Lemma
unglue-term-1
No Annotations
∀[Gamma:j⊢]. ∀[A:{Gamma ⊢ _}]. ∀[phi:{Gamma ⊢ _:𝔽}]. ∀[T:{Gamma, phi ⊢ _}]. ∀[w:{Gamma, phi ⊢ _:(T ⟶ A)}].
∀[b:{Gamma ⊢ _:Glue [phi ⊢→ (T;w)] A}].
unglue(b) = app(w; b) ∈ {Gamma ⊢ _:A} supposing phi = 1(𝔽) ∈ {Gamma ⊢ _:𝔽}
BY
{ (InstLemma `unglue-term_wf2` [] THEN RepeatFor 6 (ParallelLast') THEN Intro) }
1
1. Gamma : CubicalSet{j}
2. A : {Gamma ⊢ _}
3. phi : {Gamma ⊢ _:𝔽}
4. T : {Gamma, phi ⊢ _}
5. w : {Gamma, phi ⊢ _:(T ⟶ A)}
6. b : {Gamma ⊢ _:Glue [phi ⊢→ (T;w)] A}
7. unglue(b) ∈ {Gamma ⊢ _:A[phi |⟶ app(w; b)]}
8. phi = 1(𝔽) ∈ {Gamma ⊢ _:𝔽}
⊢ unglue(b) = app(w; b) ∈ {Gamma ⊢ _:A}
Latex:
Latex:
No Annotations
\mforall{}[Gamma:j\mvdash{}]. \mforall{}[A:\{Gamma \mvdash{} \_\}]. \mforall{}[phi:\{Gamma \mvdash{} \_:\mBbbF{}\}]. \mforall{}[T:\{Gamma, phi \mvdash{} \_\}].
\mforall{}[w:\{Gamma, phi \mvdash{} \_:(T {}\mrightarrow{} A)\}]. \mforall{}[b:\{Gamma \mvdash{} \_:Glue [phi \mvdash{}\mrightarrow{} (T;w)] A\}].
unglue(b) = app(w; b) supposing phi = 1(\mBbbF{})
By
Latex:
(InstLemma `unglue-term\_wf2` [] THEN RepeatFor 6 (ParallelLast') THEN Intro)
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