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, 4, 5, 6, 7, 8*	, , , , , ,  ⊢
	: , : , :
1	reference	14	⊢
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
3	instantiation	9	⊢
	: , : , :
4	reference	70	⊢
5	reference	69	⊢
6	reference	66	⊢
7	reference	34	⊢
8	instantiation	41, 10, 11	, , , , , ,  ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
10	instantiation	57, 12	, , , ,  ⊢
	: , : , :
11	instantiation	32, 66, 34, 13*	, , , ,  ⊢
	: , :
12	instantiation	14, 15, 16, 70, 69, 66, 17*	, , , ,  ⊢
	: , : , :
13	instantiation	41, 18, 19	, , , ,  ⊢
	: , : , :
14	axiom		⊢
	proveit.numbers.ordering.max_def_multi
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
16	instantiation	59	⊢
	: , :
17	instantiation	41, 20, 21	, , , ,  ⊢
	: , : , :
18	instantiation	44, 45, 22, 23, 24, 25	, , , ,  ⊢
	: , : , : , :
19	instantiation	50, 51, 52, 53	⊢
	: , : , : , : , :
20	instantiation	57, 26	, ,  ⊢
	: , : , :
21	instantiation	41, 27, 28	, ,  ⊢
	: , : , :
22	instantiation	59	⊢
	: , :
23	instantiation	59	⊢
	: , :
24	instantiation	63, 35	, ,  ⊢
	: , :
25	instantiation	64, 29	, , , ,  ⊢
	: , :
26	instantiation	32, 70, 69, 30*	, ,  ⊢
	: , :
27	instantiation	31, 70, 66	,  ⊢
	: , :
28	instantiation	32, 66, 70, 33*	, ,  ⊢
	: , :
29	instantiation	68, 34, 66, 35	, , , ,  ⊢
	: , :
30	instantiation	41, 36, 37	, ,  ⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.ordering.max_bin_args_commute
32	axiom		⊢
	proveit.numbers.ordering.max_def_bin
33	instantiation	41, 38, 39	, ,  ⊢
	: , : , :
34	assumption		⊢
35	instantiation	72, 40	, ,  ⊢
	: , :
36	instantiation	41, 42, 43	, ,  ⊢
	: , : , :
37	instantiation	50, 51, 52, 53	⊢
	: , : , : , : , :
38	instantiation	44, 45, 46, 47, 48, 49	, ,  ⊢
	: , : , : , :
39	instantiation	50, 51, 52, 53	⊢
	: , : , : , : , :
40	instantiation	54, 55, 73	, ,  ⊢
	: , : , :
41	axiom		⊢
	proveit.logic.equality.equals_transitivity
42	instantiation	57, 56	⊢
	: , : , :
43	instantiation	57, 58	, ,  ⊢
	: , : , :
44	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
46	instantiation	59	⊢
	: , :
47	instantiation	59	⊢
	: , :
48	instantiation	63, 67	⊢
	: , :
49	instantiation	64, 60	, ,  ⊢
	: , :
50	axiom		⊢
	proveit.core_expr_types.conditionals.true_case_reduction
51	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
53	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
54	axiom		⊢
	proveit.numbers.ordering.transitivity_less_less
55	instantiation	61, 62, 71	,  ⊢
	: , : , :
56	instantiation	63, 71	⊢
	: , :
57	axiom		⊢
	proveit.logic.equality.substitution
58	instantiation	64, 65	, ,  ⊢
	: , :
59	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
60	instantiation	68, 70, 66, 67	, ,  ⊢
	: , :
61	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
62	assumption		⊢
63	theorem		⊢
	proveit.core_expr_types.conditionals.satisfied_condition_reduction
64	theorem		⊢
	proveit.core_expr_types.conditionals.dissatisfied_condition_reduction
65	instantiation	68, 69, 70, 71	, ,  ⊢
	: , :
66	assumption		⊢
67	instantiation	72, 73	⊢
	: , :
68	theorem		⊢
	proveit.numbers.ordering.not_less_from_less_eq
69	assumption		⊢
70	assumption		⊢
71	assumption		⊢
72	theorem		⊢
	proveit.numbers.ordering.relax_less
73	assumption		⊢
*equality replacement requirements