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	modus ponens	1, 2	,  ⊢
1	instantiation	3, 4, 5	⊢
	: , : , : , :
2	instantiation	6, 7, 8	⊢
	: , :
3	theorem		⊢
	proveit.logic.booleans.quantification.existence.skolem_elim_lemma
4	assumption		⊢
5	instantiation	9	⊢
	: , :
6	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
7	instantiation	10, 20	⊢
	: , :
8	generalization	11	⊢
9	axiom		⊢
	proveit.logic.equality.equality_in_bool
10	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
11	deduction	12	,  ⊢
12	instantiation	13, 14	, ,  ⊢
	:
13	axiom		⊢
	proveit.logic.booleans.eq_true_intro
14	modus ponens	15, 16	, ,  ⊢
15	instantiation	17, 18	,  ⊢
	:
16	assumption		⊢
17	instantiation	19, 20	⊢
	: , :
18	assumption		⊢
19	theorem		⊢
	proveit.logic.booleans.conjunction.right_from_and
20	assumption		⊢