Proof of proveit.logic.booleans.not_equals_true theorem

import proveit
theory = proveit.Theory() # the theorem's theory

%proving not_equals_true

With these allowed/disallowed theorem/theory presumptions (e.g., to avoid circular dependencies), we begin our proof of
not_equals_true:
(see dependencies)

not_equals_true may now be readily provable (assuming required theorems are usable).  Simply execute "%qed".

%qed

proveit.logic.booleans.not_equals_true has been proven.

	step type	requirements	statement
0	generalization	1	⊢
1	instantiation	2, 3, 4	⊢
	: , :
2	theorem		⊢
	proveit.logic.equality.substitute_falsehood
3	axiom		⊢
	proveit.logic.booleans.false_not_true
4	assumption		⊢