Logiweb aspects of lemma eqLeq(R) in pyk

Up Help

The predefined "pyk" aspect

define pyk of lemma eqLeq(R) 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 e unicode small q unicode capital l unicode small e unicode small q unicode left parenthesis unicode capital r unicode right parenthesis unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma eqLeq(R) as text unicode start of text unicode small e unicode small q unicode capital l unicode small e unicode small q unicode left parenthesis unicode capital r 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 eqLeq(R) as system Q infer all metavar var rx end metavar indeed all metavar var ry end metavar indeed metavar var rx end metavar == metavar var ry end metavar infer not0 metavar var rx end metavar << metavar var ry end metavar imply metavar var rx end metavar == metavar var ry end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma eqLeq(R) as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var rx end metavar indeed all metavar var ry end metavar indeed metavar var rx end metavar == metavar var ry end metavar infer prop lemma weaken or first modus ponens metavar var rx end metavar == metavar var ry end metavar conclude not0 metavar var rx end metavar << metavar var ry end metavar imply metavar var rx end metavar == metavar var ry end metavar cut 1rule repetition modus ponens not0 metavar var rx end metavar << metavar var ry end metavar imply metavar var rx end metavar == metavar var ry end metavar conclude not0 metavar var rx end metavar << metavar var ry end metavar imply metavar var rx end metavar == metavar var ry end metavar end quote state proof state cache var c end expand end define