Logiweb aspects of lemma nonpositiveNegated in pyk

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The predefined "pyk" aspect

define pyk of lemma nonpositiveNegated as text unicode start of text unicode small l unicode small e unicode small m unicode small m unicode small a unicode space unicode small n unicode small o unicode small n unicode small p unicode small o unicode small s unicode small i unicode small t unicode small i unicode small v unicode small e unicode capital n unicode small e unicode small g unicode small a unicode small t unicode small e unicode small d unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma nonpositiveNegated as text unicode start of text unicode capital n unicode small o unicode small n unicode small p unicode small o unicode small s unicode small i unicode small t unicode small i unicode small v unicode small e unicode capital n unicode small e unicode small g unicode small a unicode small t unicode small e unicode small d unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma nonpositiveNegated as system Q infer all metavar var x end metavar indeed metavar var x end metavar <= 0 infer 0 <= - metavar var x end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma nonpositiveNegated as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var x end metavar indeed metavar var x end metavar <= 0 infer lemma leqNegated modus ponens metavar var x end metavar <= 0 conclude - 0 <= - metavar var x end metavar cut lemma -0=0 conclude - 0 = 0 cut lemma subLeqLeft modus ponens - 0 = 0 modus ponens - 0 <= - metavar var x end metavar conclude 0 <= - metavar var x end metavar end quote state proof state cache var c end expand end define