nLab Sandbox

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[(Γ,x:A,y:B(x))] [Γ,x:AB(x):Type] [Γ] [Γa:A] [(Γ,x:A)] id [ΓA:Type] [Γ] \array{ &&&& \big[ (\Gamma, x \colon A, y \colon B(x)) \big] \\ &&&& \Big\downarrow \mathrlap{ {}^{ \big[ \Gamma, x \colon A \,\vdash\, B(x) \colon Type \big] } } \\ [\Gamma] && \overset{ [\Gamma \vdash a \colon A] } {\longrightarrow} && \big[ (\Gamma, x \colon A) \big] \\ & {}_{id}\searrow && \swarrow_{\mathrlap{[\Gamma \vdash A \colon Type]}} \\ && [\Gamma] }

Last revised on April 19, 2024 at 07:57:47. See the history of this page for a list of all contributions to it.