rowsorted-smallercol-evnboundedsrowsorted(mx, #r mx, mx), c0 < #c mx, c < #c mx, c < c0, m ≤ n, n ≤ #r mx
⊦ count(mx[c]c, m, n, λ j. j < i) ≥ countevn(mx[c0]c, m, n, λ j. j < i)srowsorted-defcountevn-reccountevn-base
917rowsorted-smallercol-evnbounded-proofrowsorted-smallercol-evnbounded-proof-info
The proof is valid.
max0column-countcol-small-even
../../../../../../lib/polybasic/specs/filter-count/export/unit.xmlfilter-countoarray-sort../../../../../../lib/polybasic/specs/filter-count/export/countrange-rec/longlemmainfo.xmlcountrange-rec../../../../../../lib/polybasic/specs/olist/export/unit.xmlolistoarray-sort../../../../../../lib/polybasic/specs/olist/export/orderedle-all/longlemmainfo.xmlorderedle-all../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/lez-01/longlemmainfo.xmllez-01../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/ge/longlemmainfo.xmlge../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/le-def/longlemmainfo.xmlle-def../../../../../../lib/basic/specs/nat-basic/export/unit.xmlnat-basic../../../../../../lib/basic/specs/nat-basic/export/f/longlemmainfo.xmlf../../../../../../lib/basic/specs/nat-basic/export/unit.xmlnat-basic../../../../../../lib/basic/specs/nat-basic/export/lf/longlemmainfo.xmllf../../../../../../lib/basic/specs/nat-basic/export/unit.xmlnat-basic../../../../../../lib/basic/specs/nat-basic/export/trans-nat/longlemmainfo.xmltrans-nat../../../../../../lib/polybasic/specs/matrix+array/export/unit.xmlmatrix+array../../../../../../lib/polybasic/specs/matrix+array/export/selcol-size/longlemmainfo.xmlselcol-size../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/lez/longlemmainfo.xmllez../../../../../../lib/basic/specs/nat-basic/export/unit.xmlnat-basic../../../../../../lib/basic/specs/nat-basic/export/succ/longlemmainfo.xmlsucc../../../../../../lib/basic/specs/nat-basic/export/unit.xmlnat-basic../../../../../../lib/basic/specs/nat-basic/export/c/longlemmainfo.xmlc../../../../../../lib/basic/specs/nat-basic/export/unit.xmlnat-basic../../../../../../lib/basic/specs/nat-basic/export/a/longlemmainfo.xmla../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/le-one/longlemmainfo.xmlle-one../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/succ-01/longlemmainfo.xmlsucc-01../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/lels-03/longlemmainfo.xmllels-03../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/les/longlemmainfo.xmlles../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/eqle-one/longlemmainfo.xmleqle-one../../../../../../lib/basic/specs/nat-basic/export/unit.xmlnat-basic../../../../../../lib/basic/specs/nat-basic/export/lf-01/longlemmainfo.xmllf-01../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/fle/longlemmainfo.xmlfle../../../../../../lib/basic/specs/nat-basic/export/unit.xmlnat-basic../../../../../../lib/basic/specs/nat-basic/export/oz/longlemmainfo.xmloz../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/lep-02/longlemmainfo.xmllep-02../../../../../../lib/basic/specs/nat-basic/export/unit.xmlnat-basic../../../../../../lib/basic/specs/nat-basic/export/s-04/longlemmainfo.xmls-04../../../../../../lib/basic/specs/nat-basic/export/unit.xmlnat-basic../../../../../../lib/basic/specs/nat-basic/export/refl-nat/longlemmainfo.xmlrefl-nat../../../../../../lib/polybasic/specs/filter-count/export/unit.xmlfilter-countoarray-sort../../../../../../lib/polybasic/specs/filter-count/export/countrange-base/longlemmainfo.xmlcountrange-base../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/lels/longlemmainfo.xmllels../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/ls-le-simp/longlemmainfo.xmlls-le-simp../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/fle-01/longlemmainfo.xmlfle-01../../../../../../lib/polybasic/specs/matrix+array/export/unit.xmlmatrix+array../../../../../../lib/polybasic/specs/matrix+array/export/selcol-get/longlemmainfo.xmlselcol-get../../../../../../lib/basic/specs/nat-basic/export/unit.xmlnat-basic../../../../../../lib/basic/specs/nat-basic/export/add-base/longlemmainfo.xmladd-base../../../../../../lib/basic/specs/nat-basic/export/unit.xmlnat-basic../../../../../../lib/basic/specs/nat-basic/export/l-02/longlemmainfo.xmll-02../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/ls-add-not-01/longlemmainfo.xmlls-add-not-01../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/ler/longlemmainfo.xmller../../../../../../lib/polybasic/specs/tord/export/unit.xmltordBubblesort-row-rev../../../../../../lib/polybasic/specs/tord/export/nll/longlemmainfo.xmlnll../../../../../../lib/basic/specs/nat/export/unit.xmlnat../../../../../../lib/basic/specs/nat/export/anti/longlemmainfo.xmlanti../../../../../../lib/basic/specs/nat-basic/export/unit.xmlnat-basic../../../../../../lib/basic/specs/nat-basic/export/l-01/longlemmainfo.xmll-01../../../../../../lib/polybasic/specs/list-perm/export/unit.xmllist-permlist-as-arrayinstance../../../../../../lib/polybasic/specs/list-perm/export/ref/longlemmainfo.xmlref../../../../../../lib/polybasic/specs/matrix+array/export/unit.xmlmatrix+array../../../../../../lib/polybasic/specs/matrix+array/export/selrow-get/longlemmainfo.xmlselrow-get../../../../../../lib/polybasic/specs/matrix+array/export/unit.xmlmatrix+array../../../../../../lib/polybasic/specs/matrix+array/export/selrow-size/longlemmainfo.xmlselrow-size