Base
includes PhysicalConstants
includes LFSigma
constant exp
constant der Show Notations
constant Real_vec_space2 Show Notations×http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Producthttp://mathhub.info/MitM/numberfields?realnumbers?Realnumbershttp://mathhub.info/MitM/numberfields?realnumbers?Realnumbers
constant Real_vec_space3 Show Notations××http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Producthttp://mathhub.info/MitM/numberfields?realnumbers?Realnumbershttp://mathhub.info/MitM/numberfields?realnumbers?Realnumbershttp://mathhub.info/MitM/numberfields?realnumbers?Realnumbers
constant comp1[v:ℝ3](πlv)http://cds.omdoc.org/urtheories?LambdaPi?lambdavhttp://mathhub.info/MitM/Models?Base?Real_vec_space3http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projlv
constant comp2[v:ℝ3](πl(πrv))http://cds.omdoc.org/urtheories?LambdaPi?lambdavhttp://mathhub.info/MitM/Models?Base?Real_vec_space3http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projlhttp://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projrv
constant comp3[v:ℝ3](πr(πrv))http://cds.omdoc.org/urtheories?LambdaPi?lambdavhttp://mathhub.info/MitM/Models?Base?Real_vec_space3http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projrhttp://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projrv
constant pred_as_sub2 Show Notations[P:ℝ2bool]ℝ2|([z:ℝ2](ded(Pz)))http://cds.omdoc.org/urtheories?LambdaPi?lambdaPhttp://cds.omdoc.org/urtheories?LambdaPi?arrowhttp://mathhub.info/MitM/Models?Base?Real_vec_space2http://mathhub.info/MitM/Foundation?Logic?boolhttp://gl.mathhub.info/MMT/LFX/Subtyping?PredSubSymbols?predsubtphttp://mathhub.info/MitM/Models?Base?Real_vec_space2http://cds.omdoc.org/urtheories?LambdaPi?lambdazhttp://mathhub.info/MitM/Models?Base?Real_vec_space2http://cds.omdoc.org/urtheories?LambdaPi?applyhttp://mathhub.info/MitM/Foundation?Logic?dedhttp://cds.omdoc.org/urtheories?LambdaPi?applyPz
constant pred_as_sub3 Show Notations[P:ℝ3bool]ℝ3|([z:ℝ3](ded(Pz)))http://cds.omdoc.org/urtheories?LambdaPi?lambdaPhttp://cds.omdoc.org/urtheories?LambdaPi?arrowhttp://mathhub.info/MitM/Models?Base?Real_vec_space3http://mathhub.info/MitM/Foundation?Logic?boolhttp://gl.mathhub.info/MMT/LFX/Subtyping?PredSubSymbols?predsubtphttp://mathhub.info/MitM/Models?Base?Real_vec_space3http://cds.omdoc.org/urtheories?LambdaPi?lambdazhttp://mathhub.info/MitM/Models?Base?Real_vec_space3http://cds.omdoc.org/urtheories?LambdaPi?applyhttp://mathhub.info/MitM/Foundation?Logic?dedhttp://cds.omdoc.org/urtheories?LambdaPi?applyPz
constant lift_type_one_to_three Show Notations[P:bool]([v:ℝ3](and(and(P(comp1v))(eq(comp2v)0))(eq(comp3v)0)))http://cds.omdoc.org/urtheories?LambdaPi?lambdaPhttp://cds.omdoc.org/urtheories?LambdaPi?arrowhttp://mathhub.info/MitM/numberfields?realnumbers?Realnumbershttp://mathhub.info/MitM/Foundation?Logic?boolhttp://cds.omdoc.org/urtheories?LambdaPi?lambdavhttp://mathhub.info/MitM/Models?Base?Real_vec_space3http://cds.omdoc.org/urtheories?LambdaPi?applyhttp://mathhub.info/MitM/Foundation?Logic?andhttp://cds.omdoc.org/urtheories?LambdaPi?applyhttp://mathhub.info/MitM/Foundation?Logic?andhttp://cds.omdoc.org/urtheories?LambdaPi?applyPhttp://cds.omdoc.org/urtheories?LambdaPi?applyhttp://mathhub.info/MitM/Models?Base?comp1vhttp://cds.omdoc.org/urtheories?LambdaPi?applyhttp://mathhub.info/MitM/Foundation?Logic?eqhttp://mathhub.info/MitM/numberfields?realnumbers?Realnumbershttp://cds.omdoc.org/urtheories?LambdaPi?applyhttp://mathhub.info/MitM/Models?Base?comp2v0http://cds.omdoc.org/urtheories?LambdaPi?applyhttp://mathhub.info/MitM/Foundation?Logic?eqhttp://mathhub.info/MitM/numberfields?realnumbers?Realnumbershttp://cds.omdoc.org/urtheories?LambdaPi?applyhttp://mathhub.info/MitM/Models?Base?comp3v0
constant lift_type_two_to_three Show Notations[P:ℝ2bool]([v:ℝ3](and(P(comp1v),(comp2v))(eq(comp3v)0)))http://cds.omdoc.org/urtheories?LambdaPi?lambdaPhttp://cds.omdoc.org/urtheories?LambdaPi?arrowhttp://mathhub.info/MitM/Models?Base?Real_vec_space2http://mathhub.info/MitM/Foundation?Logic?boolhttp://cds.omdoc.org/urtheories?LambdaPi?lambdavhttp://mathhub.info/MitM/Models?Base?Real_vec_space3http://cds.omdoc.org/urtheories?LambdaPi?applyhttp://mathhub.info/MitM/Foundation?Logic?andhttp://cds.omdoc.org/urtheories?LambdaPi?applyPhttp://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuplehttp://cds.omdoc.org/urtheories?LambdaPi?applyhttp://mathhub.info/MitM/Models?Base?comp1vhttp://cds.omdoc.org/urtheories?LambdaPi?applyhttp://mathhub.info/MitM/Models?Base?comp2vhttp://cds.omdoc.org/urtheories?LambdaPi?applyhttp://mathhub.info/MitM/Foundation?Logic?eqhttp://mathhub.info/MitM/numberfields?realnumbers?Realnumbershttp://cds.omdoc.org/urtheories?LambdaPi?applyhttp://mathhub.info/MitM/Models?Base?comp3v0
constant lift_function_one_to_three Show Notations
constant lift_function_two_to_three Show Notations