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	reference	37	⊢
2	instantiation	16, 4	, , , ,  ⊢
	: , : , :
3	instantiation	37, 5, 6	, ,  ⊢
	: , : , :
4	instantiation	7, 8, 9, 62, 61, 52, 10*	, , , ,  ⊢
	: , : , :
5	instantiation	28, 61, 35	,  ⊢
	: , :
6	instantiation	29, 35, 61, 11*	, ,  ⊢
	: , :
7	axiom		⊢
	proveit.numbers.ordering.min_def_multi
8	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
9	instantiation	54	⊢
	: , :
10	instantiation	37, 12, 13	, , , ,  ⊢
	: , : , :
11	instantiation	37, 14, 15	, ,  ⊢
	: , : , :
12	instantiation	16, 17	, ,  ⊢
	: , : , :
13	instantiation	29, 61, 52, 18*	, ,  ⊢
	: , :
14	instantiation	42, 43, 19, 20, 21, 22	, ,  ⊢
	: , : , : , :
15	instantiation	48, 49, 50, 51	⊢
	: , : , : , : , :
16	axiom		⊢
	proveit.logic.equality.substitution
17	instantiation	37, 23, 24	, ,  ⊢
	: , : , :
18	instantiation	37, 25, 26	, ,  ⊢
	: , : , :
19	instantiation	54	⊢
	: , :
20	instantiation	54	⊢
	: , :
21	instantiation	55, 36	⊢
	: , :
22	instantiation	56, 27	, ,  ⊢
	: , :
23	instantiation	28, 62, 61	,  ⊢
	: , :
24	instantiation	29, 61, 62, 30*	, ,  ⊢
	: , :
25	instantiation	42, 43, 31, 32, 33, 34	, ,  ⊢
	: , : , : , :
26	instantiation	48, 49, 50, 51	⊢
	: , : , : , : , :
27	instantiation	60, 35, 61, 36	, ,  ⊢
	: , :
28	theorem		⊢
	proveit.numbers.ordering.min_bin_args_commute
29	axiom		⊢
	proveit.numbers.ordering.min_def_bin
30	instantiation	37, 38, 39	, ,  ⊢
	: , : , :
31	instantiation	54	⊢
	: , :
32	instantiation	54	⊢
	: , :
33	instantiation	55, 53	⊢
	: , :
34	instantiation	56, 40	, ,  ⊢
	: , :
35	assumption		⊢
36	instantiation	58, 41	⊢
	: , :
37	axiom		⊢
	proveit.logic.equality.equals_transitivity
38	instantiation	42, 43, 44, 45, 46, 47	, ,  ⊢
	: , : , : , :
39	instantiation	48, 49, 50, 51	⊢
	: , : , : , : , :
40	instantiation	60, 61, 52, 53	, ,  ⊢
	: , :
41	assumption		⊢
42	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
44	instantiation	54	⊢
	: , :
45	instantiation	54	⊢
	: , :
46	instantiation	55, 63	⊢
	: , :
47	instantiation	56, 57	, ,  ⊢
	: , :
48	axiom		⊢
	proveit.core_expr_types.conditionals.true_case_reduction
49	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
51	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
52	assumption		⊢
53	instantiation	58, 59	⊢
	: , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
55	theorem		⊢
	proveit.core_expr_types.conditionals.satisfied_condition_reduction
56	theorem		⊢
	proveit.core_expr_types.conditionals.dissatisfied_condition_reduction
57	instantiation	60, 61, 62, 63	, ,  ⊢
	: , :
58	theorem		⊢
	proveit.numbers.ordering.relax_less
59	assumption		⊢
60	theorem		⊢
	proveit.numbers.ordering.not_less_from_less_eq
61	assumption		⊢
62	assumption		⊢
63	assumption		⊢
*equality replacement requirements