define pyk of hypothesize as text unicode start of text unicode small h unicode small y unicode small p unicode small o unicode small t unicode small h unicode small e unicode small s unicode small i unicode small z unicode small e unicode end of text end unicode text end text end define
define tex of hypothesize as text unicode start of text unicode newline unicode capital h unicode small y unicode small p unicode small o unicode small t unicode small h unicode small e unicode small s unicode small i unicode small z unicode small e unicode end of text end unicode text end text end define
define statement of hypothesize as system prime s infer all metavar var h end metavar indeed all metavar var a end metavar indeed ( metavar var a end metavar infer ( metavar var h end metavar peano imply metavar var a end metavar ) ) end define
define proof of hypothesize as lambda var c dot lambda var x dot proof expand quote system prime s infer all metavar var h end metavar indeed all metavar var a end metavar indeed ( metavar var a end metavar infer ( ( axiom prime a one conclude ( metavar var a end metavar peano imply ( metavar var h end metavar peano imply metavar var a end metavar ) ) ) cut ( ( ( rule prime mp modus ponens ( metavar var a end metavar peano imply ( metavar var h end metavar peano imply metavar var a end metavar ) ) ) modus ponens metavar var a end metavar ) conclude ( metavar var h end metavar peano imply metavar var a end metavar ) ) ) ) end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20050603 by Klaus Grue,