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	6	⊢
2	instantiation	6, 4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8	,  ⊢
	: , : , :
4	instantiation	10, 9	⊢
	: , : , :
5	instantiation	10, 39	⊢
	: , : , :
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	11, 62, 63, 12, 45, 46, 49, 28, 29, 13	,  ⊢
	: , : , : , : , : , : , : , :
8	instantiation	14, 15, 16, 17	,  ⊢
	: , : , : , :
9	instantiation	48, 45	⊢
	:
10	axiom		⊢
	proveit.logic.equality.substitution
11	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
12	instantiation	18	⊢
	: , : , :
13	instantiation	19	⊢
	:
14	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
15	instantiation	20, 66, 41, 21, 26, 42, 45, 49, 28, 29	,  ⊢
	: , : , : , : , : , : , :
16	instantiation	24, 62, 66, 22, 26, 45, 49, 28, 29, 23*	,  ⊢
	: , : , : , : , : , :
17	instantiation	24, 66, 41, 25, 26, 42, 45, 27, 28, 29, 30*	,  ⊢
	: , : , : , : , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
19	axiom		⊢
	proveit.logic.equality.equals_reflexivity
20	theorem		⊢
	proveit.numbers.addition.leftward_commutation
21	instantiation	50	⊢
	: , :
22	instantiation	50	⊢
	: , :
23	instantiation	34, 31, 32*	⊢
	: , :
24	theorem		⊢
	proveit.numbers.addition.association
25	instantiation	50	⊢
	: , :
26	instantiation	50	⊢
	: , :
27	instantiation	33, 45, 49	⊢
	: , :
28	instantiation	33, 44, 46	⊢
	: , :
29	instantiation	33, 45, 46	⊢
	: , :
30	instantiation	34, 35, 36*	⊢
	: , :
31	instantiation	40, 41, 66, 62, 42, 37, 38, 49, 39*	⊢
	: , : , : , : , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
33	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
34	theorem		⊢
	proveit.logic.equality.equals_reversal
35	instantiation	40, 41, 66, 62, 42, 43, 44, 45, 46	⊢
	: , : , : , : , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_2
37	instantiation	50	⊢
	: , :
38	instantiation	64, 52, 47	⊢
	: , : , :
39	instantiation	48, 49	⊢
	:
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	50	⊢
	: , :
44	instantiation	64, 52, 51	⊢
	: , : , :
45	instantiation	64, 52, 53	⊢
	: , : , :
46	assumption		⊢
47	instantiation	64, 56, 54	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
49	assumption		⊢
50	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
51	instantiation	64, 56, 55	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
53	instantiation	64, 56, 57	⊢
	: , : , :
54	instantiation	64, 60, 58	⊢
	: , : , :
55	instantiation	64, 60, 59	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
57	instantiation	64, 60, 61	⊢
	: , : , :
58	instantiation	64, 65, 62	⊢
	: , : , :
59	instantiation	64, 65, 63	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
61	instantiation	64, 65, 66	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
64	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
65	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
66	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements