Logiweb aspects of axiom cauchy in pyk

Up Help

The predefined "pyk" aspect

define pyk of axiom cauchy as text unicode start of text unicode small a unicode small x unicode small i unicode small o unicode small m unicode space unicode small c unicode small a unicode small u unicode small c unicode small h unicode small y unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of axiom cauchy as text unicode start of text unicode capital c unicode small a unicode small u unicode small c unicode small h unicode small y unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of axiom cauchy as system Q infer all metavar var v1 end metavar indeed all metavar var v2 end metavar indeed all metavar var n end metavar indeed all metavar var ep end metavar indeed all metavar var fx end metavar indeed for all objects metavar var ep end metavar indeed not0 for all objects metavar var n end metavar indeed not0 for all objects metavar var v1 end metavar indeed for all objects metavar var v2 end metavar indeed not0 0 <= metavar var ep end metavar imply not0 not0 0 = metavar var ep end metavar imply metavar var n end metavar <= metavar var v1 end metavar imply metavar var n end metavar <= metavar var v2 end metavar imply not0 | [ metavar var fx end metavar ; metavar var v1 end metavar ] + - [ metavar var fx end metavar ; metavar var v2 end metavar ] | <= metavar var ep end metavar imply not0 not0 | [ metavar var fx end metavar ; metavar var v1 end metavar ] + - [ metavar var fx end metavar ; metavar var v2 end metavar ] | = metavar var ep end metavar end define

The user defined "the proof aspect" aspect

define proof of axiom cauchy as rule tactic end define