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