Logiweb(TM)

Logiweb aspects of 3.2f in pyk

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The "pyk" aspect

Define pyk of 3.2f as "3.2f" end define

The "proof/kg" aspect

define proof of 3.2f as \ p . \ c . taceval1 ( quote PA end quote , quote Line L01 : S5 >> { 0 + 0 } = 0 ; Line L02 : 3.2b mp L01 >> 0 = { 0 + 0 } ; Line L03 : Block >> Begin ; Line L04 : Hypothesis >> x = { 0 + x } ; Line L05 : S2 mp L04 >> x suc = { { 0 + x } suc } ; Line L06 : S6 >> { 0 + { x suc } } = { { 0 + x } suc } ; { { { 3.2d mp L05 } mp L06 } conclude { x suc = { 0 + { x suc } } } } line L08 : Block >> End ; Line L09 : { { Induction at x } ponens L02 } ponens L08 >> x = { 0 + x } ; { { Gen1 ponens L09 } conclude f.allfunc \ x . { x = { 0 + x } } } end quote , c ) end define

The "unitac/kg" aspect

define unitac of 3.2f as \ u . unitac-lemma ( u ) end define

The "statement/kg" aspect

define statement of 3.2f as PA infer f.allfunc \ x . { x = { 0 + x } } end define

The pyk compiler, version 0.1.9 by Klaus Grue,
GRD-2007-07-12.UTC:20:13:13.678589 = MJD-54293.TAI:20:13:46.678589 = LGT-4690988026678589e-6