Show the Proof

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

	step type	requirements	statement
0	instantiation	1, 2, 3	⊢
	: , :
1	theorem		⊢
	proveit.logic.booleans.forall_over_bool_by_cases
2	generalization	4	⊢
3	generalization	5	⊢
4	instantiation	7, 6	⊢
	: , :
5	instantiation	7, 8	,  ⊢
	: , :
6	instantiation	9, 10	⊢
	:
7	theorem		⊢
	proveit.logic.equality.equals_reversal
8	instantiation	11, 12	,  ⊢
	:
9	axiom		⊢
	proveit.logic.booleans.eq_true_intro
10	modus ponens	13, 14	⊢
11	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
12	instantiation	15, 16, 17	,  ⊢
	:
13	assumption		⊢
14	axiom		⊢
	proveit.logic.booleans.true_axiom
15	axiom		⊢
	proveit.logic.booleans.implication.denial_via_contradiction
16	assumption		⊢
17	assumption		⊢