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	50	⊢
2	instantiation	50, 4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8, 9	,  ⊢
	: , : , : , :
4	instantiation	61, 10	⊢
	: , : , :
5	instantiation	61, 45	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
7	instantiation	50, 11, 12	,  ⊢
	: , : , :
8	instantiation	34, 75, 71, 72, 13, 16, 37, 47, 23, 24, 58, 14*	,  ⊢
	: , : , : , : , : , :
9	instantiation	34, 72, 41, 15, 16, 42, 37, 17, 58, 18*	,  ⊢
	: , : , : , : , : , :
10	instantiation	57, 37	⊢
	:
11	instantiation	21, 72, 75, 19, 20, 37, 47, 58, 23, 24	,  ⊢
	: , : , : , : , : , : , :
12	instantiation	21, 71, 75, 22, 37, 47, 23, 58, 24	,  ⊢
	: , : , : , : , : , : , :
13	instantiation	46	⊢
	: , : , :
14	instantiation	28, 25, 26*	⊢
	: , :
15	instantiation	54	⊢
	: , :
16	instantiation	54	⊢
	: , :
17	instantiation	31, 27, 47	⊢
	: , :
18	instantiation	28, 29, 30*	⊢
	: , :
19	instantiation	54	⊢
	: , :
20	instantiation	54	⊢
	: , :
21	theorem		⊢
	proveit.numbers.addition.leftward_commutation
22	instantiation	46	⊢
	: , : , :
23	instantiation	31, 36, 47	⊢
	: , :
24	instantiation	31, 37, 47	⊢
	: , :
25	instantiation	40, 41, 71, 75, 42, 32, 44, 36, 37, 47, 33*	⊢
	: , : , : , : , : , :
26	instantiation	34, 41, 72, 75, 42, 35, 44, 36, 37, 38*	⊢
	: , : , : , : , : , :
27	instantiation	73, 55, 39	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.equality.equals_reversal
29	instantiation	40, 41, 72, 75, 42, 43, 44, 58, 45*	⊢
	: , : , : , : , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
31	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
32	instantiation	46	⊢
	: , : , :
33	instantiation	57, 47	⊢
	:
34	theorem		⊢
	proveit.numbers.addition.association
35	instantiation	54	⊢
	: , :
36	instantiation	73, 55, 48	⊢
	: , : , :
37	instantiation	73, 55, 49	⊢
	: , : , :
38	instantiation	50, 51, 52	⊢
	: , : , :
39	instantiation	73, 64, 53	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
41	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
42	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
43	instantiation	54	⊢
	: , :
44	instantiation	73, 55, 56	⊢
	: , : , :
45	instantiation	57, 58	⊢
	:
46	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
47	assumption		⊢
48	instantiation	73, 64, 59	⊢
	: , : , :
49	instantiation	73, 64, 60	⊢
	: , : , :
50	axiom		⊢
	proveit.logic.equality.equals_transitivity
51	instantiation	61, 62	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_2
53	instantiation	73, 69, 63	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
55	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
56	instantiation	73, 64, 65	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
58	assumption		⊢
59	instantiation	73, 69, 66	⊢
	: , : , :
60	instantiation	73, 69, 67	⊢
	: , : , :
61	axiom		⊢
	proveit.logic.equality.substitution
62	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_3
63	instantiation	73, 74, 68	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
65	instantiation	73, 69, 70	⊢
	: , : , :
66	instantiation	73, 74, 71	⊢
	: , : , :
67	instantiation	73, 74, 72	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
69	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
70	instantiation	73, 74, 75	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
72	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
73	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
74	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements