Logiweb aspects of lemma positiveBase base in pyk

Up Help

The predefined "pyk" aspect

define pyk of lemma positiveBase base 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 p unicode small o unicode small s unicode small i unicode small t unicode small i unicode small v unicode small e unicode capital b unicode small a unicode small s unicode small e unicode space unicode small b unicode small a unicode small s unicode small e unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma positiveBase base as text unicode start of text unicode capital p unicode small o unicode small s unicode small i unicode small t unicode small i unicode small v unicode small e unicode capital b unicode small a unicode small s unicode small e unicode left parenthesis unicode capital b unicode small a unicode small s unicode small e unicode right parenthesis unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma positiveBase base as system Q infer all metavar var x end metavar indeed not0 0 <= metavar var x end metavar ^ 0 imply not0 not0 0 = metavar var x end metavar ^ 0 end define

The user defined "the proof aspect" aspect

define proof of lemma positiveBase base as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var x end metavar indeed lemma expZero exact conclude metavar var x end metavar ^ 0 = 1 cut lemma eqSymmetry modus ponens metavar var x end metavar ^ 0 = 1 conclude 1 = metavar var x end metavar ^ 0 cut lemma 0<1 conclude not0 0 <= 1 imply not0 not0 0 = 1 cut lemma subLessRight modus ponens 1 = metavar var x end metavar ^ 0 modus ponens not0 0 <= 1 imply not0 not0 0 = 1 conclude not0 0 <= metavar var x end metavar ^ 0 imply not0 not0 0 = metavar var x end metavar ^ 0 end quote state proof state cache var c end expand end define