include "ground/relocation/gr_pat_uni.ma".
include "ground/relocation/gr_nat_nat.ma".
-(* NON-NEGATIVE APPLICATION FOR GENERIC RELOCATION MAPS *****************************)
+(* NON-NEGATIVE APPLICATION FOR GENERIC RELOCATION MAPS *********************)
-(* Properties with uniform relocations **************************************)
+(* Constructions with gr_uni ************************************************)
lemma gr_nat_uni (n) (l):
@↑❪l,𝐮❨n❩❫ ≘ l+n.
/2 width=1 by gr_nat_pred_bi/
qed.
-(* Inversion lemmas with uniform relocations ********************************)
+(* Inversions with gr_uni ***************************************************)
lemma gr_nat_inv_uni (n) (l) (k):
@↑❪l,𝐮❨n❩❫ ≘ k → k = l+n.