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	52	⊢
2	instantiation	52, 4, 5	, ,  ⊢
	: , : , :
3	instantiation	37, 65, 39, 6, 7, 8, 45, 27, 9*	, ,  ⊢
	: , : , : , : , : , :
4	instantiation	10, 11, 12, 13	, ,  ⊢
	: , : , : , :
5	instantiation	37, 38, 60, 25, 40, 14, 15, 48, 45, 27, 16*	, ,  ⊢
	: , : , : , : , : , :
6	instantiation	49	⊢
	: , :
7	instantiation	49	⊢
	: , :
8	instantiation	17, 18, 48	⊢
	: , :
9	instantiation	28, 19, 59*	⊢
	: , :
10	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
11	instantiation	24, 65, 39, 60, 20, 21, 48, 45, 27	, ,  ⊢
	: , : , : , : , : , : , :
12	instantiation	24, 39, 60, 65, 22, 23, 48, 45, 27	, ,  ⊢
	: , : , : , : , : , : , :
13	instantiation	24, 25, 65, 26, 48, 45, 27	, ,  ⊢
	: , : , : , : , : , : , :
14	instantiation	46	⊢
	: , : , :
15	instantiation	33	⊢
	: , : , : , :
16	instantiation	28, 29, 30*	⊢
	: , :
17	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
18	instantiation	63, 50, 31	⊢
	: , : , :
19	instantiation	34, 38, 39, 65, 40, 41, 42, 45, 32*	⊢
	: , : , : , : , : , :
20	instantiation	49	⊢
	: , :
21	instantiation	46	⊢
	: , : , :
22	instantiation	49	⊢
	: , :
23	instantiation	46	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.leftward_commutation
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
26	instantiation	33	⊢
	: , : , : , :
27	assumption		⊢
28	theorem		⊢
	proveit.logic.equality.equals_reversal
29	instantiation	34, 38, 60, 65, 40, 35, 42, 48, 36*	⊢
	: , : , : , : , : , :
30	instantiation	37, 38, 39, 65, 40, 41, 42, 43*	⊢
	: , : , : , : , : , :
31	instantiation	63, 56, 44	⊢
	: , : , :
32	instantiation	47, 45	⊢
	:
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
34	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
35	instantiation	46	⊢
	: , : , :
36	instantiation	47, 48	⊢
	:
37	theorem		⊢
	proveit.numbers.addition.association
38	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
40	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
41	instantiation	49	⊢
	: , :
42	instantiation	63, 50, 51	⊢
	: , : , :
43	instantiation	52, 53, 54	⊢
	: , : , :
44	instantiation	63, 61, 55	⊢
	: , : , :
45	assumption		⊢
46	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
47	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
48	assumption		⊢
49	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
50	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
51	instantiation	63, 56, 57	⊢
	: , : , :
52	axiom		⊢
	proveit.logic.equality.equals_transitivity
53	instantiation	58, 59	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
55	instantiation	63, 64, 60	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
57	instantiation	63, 61, 62	⊢
	: , : , :
58	axiom		⊢
	proveit.logic.equality.substitution
59	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
60	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
61	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
62	instantiation	63, 64, 65	⊢
	: , : , :
63	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
64	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
65	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements