X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week6.mdwn;h=f26285f3b9cb92768b509c3e93768166a3729a6a;hp=57158c6b92d1ac900cdb3a738a35a70c9eb29f64;hb=0bdafef1c31c5372b1b7d5a960e2a016754d5388;hpb=8e8edc03022be0da1621d6f1b418919c2637856e;ds=sidebyside diff --git a/week6.mdwn b/week6.mdwn index 57158c6b..f26285f3 100644 --- a/week6.mdwn +++ b/week6.mdwn @@ -261,26 +261,26 @@ Axiom: ----------- Structural Rules: -Exchange: Γ, x:A, y:B, Δ |- R:C - ------------------------------- + Γ, x:A, y:B, Δ |- R:C +Exchange: ------------------------------- Γ, y:B, x:A, Δ |- R:C -Contraction: Γ, x:A, x:A |- R:B - -------------------------- + Γ, x:A, x:A |- R:B +Contraction: -------------------------- Γ, x:A |- R:B -Weakening: Γ |- R:B - --------------------- + Γ |- R:B +Weakening: --------------------- Γ, x:A |- R:B [x chosen fresh] Logical Rules: ---> I: Γ, x:A |- R:B - ------------------------- + Γ, x:A |- R:B +--> I: ------------------------- Γ |- \xM:A --> B ---> E: Γ |- f:(A --> B) Γ |- x:A - ------------------------------------- + Γ |- f:(A --> B) Γ |- x:A +--> E: ------------------------------------- Γ |- (fx):B