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	deduction	1	,  ⊢
1	instantiation	4, 2, 3	, ,  ⊢
	: , : , :
2	instantiation	4, 5, 6	, ,  ⊢
	: , : , :
3	instantiation	16, 39, 40	,  ⊢
	: , :
4	theorem		⊢
	proveit.logic.equality.sub_left_side_into
5	instantiation	7, 8	, ,  ⊢
	: , :
6	instantiation	21, 9, 10	, ,  ⊢
	: , : , :
7	theorem		⊢
	proveit.logic.equality.equals_reversal
8	instantiation	11, 12, 13	, ,  ⊢
	: , : , :
9	instantiation	21, 14, 15	, ,  ⊢
	: , : , :
10	instantiation	24, 26, 25, 27	⊢
	: , : , : , : , :
11	theorem		⊢
	proveit.logic.equality.sub_right_side_into
12	instantiation	16, 40, 39	,  ⊢
	: , :
13	instantiation	21, 17, 18	, ,  ⊢
	: , : , :
14	instantiation	30, 19	⊢
	: , : , :
15	instantiation	30, 20	, ,  ⊢
	: , : , :
16	axiom		⊢
	proveit.numbers.ordering.min_def_bin
17	instantiation	21, 22, 23	, ,  ⊢
	: , : , :
18	instantiation	24, 25, 26, 27	⊢
	: , : , : , : , :
19	instantiation	36, 33	⊢
	: , :
20	instantiation	34, 28	, ,  ⊢
	: , :
21	axiom		⊢
	proveit.logic.equality.equals_transitivity
22	instantiation	30, 29	, ,  ⊢
	: , : , :
23	instantiation	30, 31	⊢
	: , : , :
24	axiom		⊢
	proveit.core_expr_types.conditionals.true_case_reduction
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
26	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	instantiation	32, 39, 40, 33	, ,  ⊢
	: , :
29	instantiation	34, 35	, ,  ⊢
	: , :
30	axiom		⊢
	proveit.logic.equality.substitution
31	instantiation	36, 41	⊢
	: , :
32	theorem		⊢
	proveit.numbers.ordering.not_less_from_less_eq
33	instantiation	37, 41	⊢
	: , :
34	theorem		⊢
	proveit.core_expr_types.conditionals.dissatisfied_condition_reduction
35	instantiation	38, 39, 40, 41	, ,  ⊢
	: , :
36	theorem		⊢
	proveit.core_expr_types.conditionals.satisfied_condition_reduction
37	theorem		⊢
	proveit.numbers.ordering.relax_less
38	theorem		⊢
	proveit.numbers.ordering.not_less_eq_from_less
39	assumption		⊢
40	assumption		⊢
41	assumption		⊢