X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fmultiple%2Fmr2_mr2.ma;h=858773399e3043e69c4012811a9a2d50ebc67692;hb=37e1b4f314ffae815beca71300688040f8da6939;hp=2126666e335b8f91402efa4d9aafcf6654145a32;hpb=c60524dec7ace912c416a90d6b926bee8553250b;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/multiple/mr2_mr2.ma b/matita/matita/contribs/lambdadelta/basic_2/multiple/mr2_mr2.ma index 2126666e3..858773399 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/multiple/mr2_mr2.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/multiple/mr2_mr2.ma @@ -18,12 +18,12 @@ include "basic_2/multiple/mr2.ma". (* Main properties **********************************************************) -theorem at_mono: ∀des,i,i1. @⦃i, des⦄ ≡ i1 → ∀i2. @⦃i, des⦄ ≡ i2 → i1 = i2. -#des #i #i1 #H elim H -des -i -i1 +theorem at_mono: ∀cs,i,i1. @⦃i, cs⦄ ≡ i1 → ∀i2. @⦃i, cs⦄ ≡ i2 → i1 = i2. +#cs #i #i1 #H elim H -cs -i -i1 [ #i #x #H <(at_inv_nil … H) -x // -| #des #l #m #i #i1 #Hil #_ #IHi1 #x #H +| #cs #l #m #i #i1 #Hil #_ #IHi1 #x #H lapply (at_inv_cons_lt … H Hil) -H -Hil /2 width=1 by/ -| #des #l #m #i #i1 #Hli #_ #IHi1 #x #H +| #cs #l #m #i #i1 #Hli #_ #IHi1 #x #H lapply (at_inv_cons_ge … H Hli) -H -Hli /2 width=1 by/ ] qed-.