Logiweb aspects of lemma telescopeNumerical in pyk

Up Help

The predefined "pyk" aspect

define pyk of lemma telescopeNumerical 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 t unicode small e unicode small l unicode small e unicode small s unicode small c unicode small o unicode small p unicode small e unicode capital n unicode small u unicode small m unicode small e unicode small r unicode small i unicode small c unicode small a unicode small l unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma telescopeNumerical as text unicode start of text unicode capital t unicode small e unicode small l unicode small e unicode small s unicode small c unicode small o unicode small p unicode small e unicode capital n unicode small u unicode small m unicode small e unicode small r unicode small i unicode small c unicode small a unicode small l unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma telescopeNumerical as system Q infer all metavar var m end metavar indeed all metavar var n end metavar indeed | [ us ; metavar var m end metavar ] + - [ us ; metavar var m end metavar + metavar var n end metavar + 1 ] | <= UStelescope( metavar var m end metavar , metavar var n end metavar ) end define

The user defined "the proof aspect" aspect

define proof of lemma telescopeNumerical as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var m end metavar indeed all metavar var n end metavar indeed lemma telescopeNumerical base conclude | [ us ; metavar var m end metavar ] + - [ us ; metavar var m end metavar + 0 + 1 ] | <= UStelescope( metavar var m end metavar , 0 ) cut lemma telescopeNumerical indu conclude | [ us ; metavar var m end metavar ] + - [ us ; metavar var m end metavar + metavar var n end metavar + 1 ] | <= UStelescope( metavar var m end metavar , metavar var n end metavar ) imply | [ us ; metavar var m end metavar ] + - [ us ; metavar var m end metavar + metavar var n end metavar + 1 + 1 ] | <= UStelescope( metavar var m end metavar , metavar var n end metavar + 1 ) cut lemma induction modus ponens | [ us ; metavar var m end metavar ] + - [ us ; metavar var m end metavar + 0 + 1 ] | <= UStelescope( metavar var m end metavar , 0 ) modus ponens | [ us ; metavar var m end metavar ] + - [ us ; metavar var m end metavar + metavar var n end metavar + 1 ] | <= UStelescope( metavar var m end metavar , metavar var n end metavar ) imply | [ us ; metavar var m end metavar ] + - [ us ; metavar var m end metavar + metavar var n end metavar + 1 + 1 ] | <= UStelescope( metavar var m end metavar , metavar var n end metavar + 1 ) conclude | [ us ; metavar var m end metavar ] + - [ us ; metavar var m end metavar + metavar var n end metavar + 1 ] | <= UStelescope( metavar var m end metavar , metavar var n end metavar ) end quote state proof state cache var c end expand end define