X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Freduction%2Fifr.ma;h=b36038141c87ce356fb4296899ef3daac03269cf;hb=e4328f6887dc0235d49d965a5ba44787b1754b80;hp=765387b1c4243749c9687e883f52996660f2d879;hpb=3ca651e49d422d9f9a2b793841ae526baf02065c;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr.ma b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr.ma index 765387b1c..b36038141 100644 --- a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr.ma +++ b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr.ma @@ -16,18 +16,20 @@ include "delayed_updating/substitution/fsubst.ma". include "delayed_updating/substitution/lift_prototerm.ma". include "delayed_updating/syntax/prototerm_eq.ma". include "delayed_updating/syntax/path_head.ma". -include "delayed_updating/syntax/path_reverse.ma". -include "delayed_updating/notation/relations/black_rightarrow_if_4.ma". +include "delayed_updating/notation/relations/black_rightarrow_if_3.ma". +include "ground/relocation/tr_uni.ma". +include "ground/xoa/ex_4_3.ma". (* IMMEDIATE FOCUSED REDUCTION ************************************************) -definition ifr (p) (q): relation2 prototerm prototerm ≝ - λt1,t2. ∃n:pnat. - let r ≝ p●𝗔◗𝗟◗q in - ∧∧ (𝗟◗q)ᴿ = ↳[n](𝗟◗q)ᴿ & r◖𝗱n ϵ t1 & - t1[⋔r←↑[𝐮❨n❩](t1⋔(p◖𝗦))] ⇔ t2 +(**) (* explicit ninj because we cannot declare the expectd type of k *) +definition ifr (r): relation2 prototerm prototerm ≝ + λt1,t2. + ∃∃p,q,k. p●𝗔◗𝗟◗q = r & + (𝗟◗q) = ↳[ninj k](𝗟◗q) & r◖𝗱k ϵ t1 & + t1[⋔r←↑[𝐮❨ninj k❩](t1⋔(p◖𝗦))] ⇔ t2 . interpretation "focused reduction with immediate updating (prototerm)" - 'BlackRightArrowIF t1 p q t2 = (ifr p q t1 t2). + 'BlackRightArrowIF t1 r t2 = (ifr r t1 t2).