Step
*
of Lemma
member-cubical-path-0-0
No Annotations
∀[Gamma:j⊢]. ∀[A:{Gamma ⊢ _}]. ∀[I:fset(ℕ)]. ∀[i:{i:ℕ| ¬i ∈ I} ]. ∀[rho:Gamma(I+i)]. ∀[u:Top]. ∀[x:A((i0)(rho))].
(x ∈ cubical-path-0(Gamma;A;I;i;rho;0;u))
BY
{ (Intros THEN MemTypeCD THEN Auto) }
1
1. Gamma : CubicalSet{j}
2. A : {Gamma ⊢ _}
3. I : fset(ℕ)
4. i : {i:ℕ| ¬i ∈ I}
5. rho : Gamma(I+i)
6. u : Top
7. x : A((i0)(rho))
8. a0 : A((i0)(rho))
⊢ u ∈ {I+i,s(0) ⊢ _:(A)<rho> o iota}
Latex:
Latex:
No Annotations
\mforall{}[Gamma:j\mvdash{}]. \mforall{}[A:\{Gamma \mvdash{} \_\}]. \mforall{}[I:fset(\mBbbN{})]. \mforall{}[i:\{i:\mBbbN{}| \mneg{}i \mmember{} I\} ]. \mforall{}[rho:Gamma(I+i)]. \mforall{}[u:Top].
\mforall{}[x:A((i0)(rho))].
(x \mmember{} cubical-path-0(Gamma;A;I;i;rho;0;u))
By
Latex:
(Intros THEN MemTypeCD THEN Auto)
Home
Index