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In [1]:
import proveit
theory = proveit.Theory() # the theorem's theory
In [2]:
%proving contradiction_via_falsification
With these allowed/disallowed theorem/theory presumptions (e.g., to avoid circular dependencies), we begin our proof of
contradiction_via_falsification:
(see dependencies)
In [3]:
%qed
proveit.logic.equality.contradiction_via_falsification has been proven.
Out[3]:
 step typerequirementsstatement
0generalization1  ⊢  
1instantiation2, 3, 4,  ⊢  
  :
2conjecture  ⊢  
 proveit.logic.booleans.negation.negation_contradiction
3assumption  ⊢  
4instantiation5, 6  ⊢  
  :
5theorem  ⊢  
 proveit.logic.booleans.negation.negation_intro
6assumption  ⊢