is mentioned by
Thm* (Trans a,b:T. R(a,b)) Thm* Thm* (a,b,c:T. Thm* (strict_part(x,y.R(x,y);a;b) R(b,c) strict_part(x,y.R(x,y);a;c)) | [trans_imp_sp_trans_b] |
Thm* (Trans a,b:T. R(a,b)) Thm* Thm* (a,b,c:T. Thm* (R(a,b) strict_part(x,y.R(x,y);b;c) strict_part(x,y.R(x,y);a;c)) | [trans_imp_sp_trans_a] |
Thm* (a,b:T. Dec(R(a,b))) Thm* Thm* (Connex(T;x,y.R(x,y)) Thm* ( Thm* ((a,b:T. Thm* ((strict_part(x,y.R(x,y);a;b) Thm* (( Symmetrize(x,y.R(x,y);a;b) Thm* (( strict_part(x,y.R(x,y);b;a))) | [connex_iff_trichot] |
Thm* (x,y:T. R(x,y) R'(x,y)) Thm* Thm* Connex(T;x,y.R(x,y)) Connex(T;x,y.R'(x,y)) | [connex_functionality_wrt_implies] |
Thm* (EquivRel x,y:T. R(x,y)) Thm* Thm* (a,a',b,b':T. R(a,b) R(a',b') (R(a,a') R(b,b'))) | [equiv_rel_self_functionality] |
Thm* (Trans x,y:T. R(x,y)) Thm* Thm* (a,a',b,b':T. Thm* (Symmetrize(x,y.R(x,y);a;b) Thm* ( Thm* (Symmetrize(x,y.R(x,y);a';b') (R(a,a') R(b,b'))) | [trans_rel_func_wrt_sym_self] |
Thm* (Trans x,y:T. R(x,y)) Thm* Thm* (a,a',b,b':T. R(b,a) R(a',b') R(a,a') R(b,b')) | [trans_rel_self_functionality] |
In prior sections: core well fnd int 1 bool 1
Try larger context:
StandardLIB
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