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	33	⊢
2	instantiation	49, 4	, , , ,  ⊢
	: , : , :
3	instantiation	24, 58, 26, 5*	, , , ,  ⊢
	: , :
4	instantiation	6, 7, 8, 62, 61, 58, 9*	, , , ,  ⊢
	: , : , :
5	instantiation	33, 10, 11	, , , ,  ⊢
	: , : , :
6	axiom		⊢
	proveit.numbers.ordering.max_def_multi
7	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
8	instantiation	51	⊢
	: , :
9	instantiation	33, 12, 13	, , , ,  ⊢
	: , : , :
10	instantiation	36, 37, 14, 15, 16, 17	, , , ,  ⊢
	: , : , : , :
11	instantiation	42, 43, 44, 45	⊢
	: , : , : , : , :
12	instantiation	49, 18	, ,  ⊢
	: , : , :
13	instantiation	33, 19, 20	, ,  ⊢
	: , : , :
14	instantiation	51	⊢
	: , :
15	instantiation	51	⊢
	: , :
16	instantiation	55, 27	, ,  ⊢
	: , :
17	instantiation	56, 21	, , , ,  ⊢
	: , :
18	instantiation	24, 62, 61, 22*	, ,  ⊢
	: , :
19	instantiation	23, 62, 58	,  ⊢
	: , :
20	instantiation	24, 58, 62, 25*	, ,  ⊢
	: , :
21	instantiation	60, 26, 58, 27	, , , ,  ⊢
	: , :
22	instantiation	33, 28, 29	, ,  ⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.ordering.max_bin_args_commute
24	axiom		⊢
	proveit.numbers.ordering.max_def_bin
25	instantiation	33, 30, 31	, ,  ⊢
	: , : , :
26	assumption		⊢
27	instantiation	64, 32	, ,  ⊢
	: , :
28	instantiation	33, 34, 35	, ,  ⊢
	: , : , :
29	instantiation	42, 43, 44, 45	⊢
	: , : , : , : , :
30	instantiation	36, 37, 38, 39, 40, 41	, ,  ⊢
	: , : , : , :
31	instantiation	42, 43, 44, 45	⊢
	: , : , : , : , :
32	instantiation	46, 47, 65	, ,  ⊢
	: , : , :
33	axiom		⊢
	proveit.logic.equality.equals_transitivity
34	instantiation	49, 48	⊢
	: , : , :
35	instantiation	49, 50	, ,  ⊢
	: , : , :
36	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	instantiation	51	⊢
	: , :
39	instantiation	51	⊢
	: , :
40	instantiation	55, 59	⊢
	: , :
41	instantiation	56, 52	, ,  ⊢
	: , :
42	axiom		⊢
	proveit.core_expr_types.conditionals.true_case_reduction
43	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
45	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
46	axiom		⊢
	proveit.numbers.ordering.transitivity_less_less
47	instantiation	53, 54, 63	,  ⊢
	: , : , :
48	instantiation	55, 63	⊢
	: , :
49	axiom		⊢
	proveit.logic.equality.substitution
50	instantiation	56, 57	, ,  ⊢
	: , :
51	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
52	instantiation	60, 62, 58, 59	, ,  ⊢
	: , :
53	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
54	assumption		⊢
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	assumption		⊢
59	instantiation	64, 65	⊢
	: , :
60	theorem		⊢
	proveit.numbers.ordering.not_less_from_less_eq
61	assumption		⊢
62	assumption		⊢
63	assumption		⊢
64	theorem		⊢
	proveit.numbers.ordering.relax_less
65	assumption		⊢
*equality replacement requirements