Logiweb aspects of auto imply in pyk

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The predefined "pyk" aspect

define pyk of auto imply as text unicode start of text unicode small a unicode small u unicode small t unicode small o unicode space unicode small i unicode small m unicode small p unicode small l unicode small y unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of auto imply as text unicode start of text unicode capital a unicode small u unicode small t unicode small o unicode capital i unicode small m unicode small p unicode small l unicode small y unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of auto imply as prop theory infer all metavar var b end metavar indeed ( metavar var b end metavar imply metavar var b end metavar ) end define

The user defined "the proof aspect" aspect

define proof of auto imply as lambda var c dot lambda var x dot proof expand quote prop theory infer all metavar var b end metavar indeed ( ( axiom one conclude ( metavar var b end metavar imply ( metavar var b end metavar imply metavar var b end metavar ) ) ) cut ( ( axiom two conclude ( ( metavar var b end metavar imply ( ( metavar var b end metavar imply metavar var b end metavar ) imply metavar var b end metavar ) ) imply ( ( metavar var b end metavar imply ( metavar var b end metavar imply metavar var b end metavar ) ) imply ( metavar var b end metavar imply metavar var b end metavar ) ) ) ) cut ( ( axiom one conclude ( metavar var b end metavar imply ( ( metavar var b end metavar imply metavar var b end metavar ) imply metavar var b end metavar ) ) ) cut ( ( ( ( mp modus ponens ( metavar var b end metavar imply ( ( metavar var b end metavar imply metavar var b end metavar ) imply metavar var b end metavar ) ) ) modus ponens ( ( metavar var b end metavar imply ( ( metavar var b end metavar imply metavar var b end metavar ) imply metavar var b end metavar ) ) imply ( ( metavar var b end metavar imply ( metavar var b end metavar imply metavar var b end metavar ) ) imply ( metavar var b end metavar imply metavar var b end metavar ) ) ) ) conclude ( ( metavar var b end metavar imply ( metavar var b end metavar imply metavar var b end metavar ) ) imply ( metavar var b end metavar imply metavar var b end metavar ) ) ) cut ( ( ( mp modus ponens ( metavar var b end metavar imply ( metavar var b end metavar imply metavar var b end metavar ) ) ) modus ponens ( ( metavar var b end metavar imply ( metavar var b end metavar imply metavar var b end metavar ) ) imply ( metavar var b end metavar imply metavar var b end metavar ) ) ) conclude ( metavar var b end metavar imply metavar var b end metavar ) ) ) ) ) ) end quote state proof state cache var c end expand end define