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In [1]:
import proveit
theory = proveit.Theory() # the theorem's theory
In [2]:
%proving iff_symmetry
With these allowed/disallowed theorem/theory presumptions (e.g., to avoid circular dependencies), we begin our proof of
iff_symmetry:
(see dependencies)
In [3]:
iff_symmetry.instance_expr.prove(assumptions=iff_symmetry.conditions)
iff_symmetry may now be readily provable (assuming required theorems are usable).  Simply execute "%qed".
In [4]:
%qed
proveit.logic.booleans.implication.iff_symmetry has been proven.
Out[4]:
 step typerequirementsstatement
0generalization1  ⊢  
1instantiation2, 3, 4  ⊢  
  : , :
2theorem  ⊢  
 proveit.logic.booleans.implication.iff_intro
3instantiation5, 7  ⊢  
  : , :
4instantiation6, 7  ⊢  
  : , :
5theorem  ⊢  
 proveit.logic.booleans.implication.iff_implies_left
6theorem  ⊢  
 proveit.logic.booleans.implication.iff_implies_right
7assumption  ⊢