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*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	reference	17	⊢
3	reference	93	⊢
4	reference	83	⊢
5	reference	18	⊢
6	instantiation	24	⊢
	: , :
7	reference	26	⊢
8	instantiation	91, 29, 10	⊢
	: , : , :
9	instantiation	11, 12, 13*	⊢
	: , :
10	instantiation	35, 36, 14, 15	⊢
	: , :
11	theorem		⊢
	proveit.logic.equality.equals_reversal
12	instantiation	16, 17, 93, 83, 18, 19, 20, 26, 21*	⊢
	: , : , : , : , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
14	instantiation	40, 22, 93	⊢
	: , :
15	instantiation	42, 23, 44	⊢
	: , :
16	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	24	⊢
	: , :
20	instantiation	91, 29, 36	⊢
	: , : , :
21	instantiation	25, 26	⊢
	:
22	instantiation	91, 45, 27	⊢
	: , : , :
23	instantiation	91, 48, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
26	instantiation	91, 29, 30	⊢
	: , : , :
27	instantiation	91, 50, 68	⊢
	: , : , :
28	instantiation	91, 52, 65	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	modus ponens	31, 32	⊢
31	instantiation	33	⊢
	: , : , :
32	generalization	34	⊢
33	theorem		⊢
	proveit.numbers.summation.summation_real_closure
34	instantiation	35, 36, 37, 38	,  ⊢
	: , :
35	theorem		⊢
	proveit.numbers.division.div_real_closure
36	instantiation	91, 45, 39	⊢
	: , : , :
37	instantiation	40, 41, 93	,  ⊢
	: , :
38	instantiation	42, 43, 44	,  ⊢
	: , :
39	instantiation	91, 50, 80	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
41	instantiation	91, 45, 46	,  ⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
43	instantiation	91, 48, 47	,  ⊢
	: , : , :
44	instantiation	91, 48, 49	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
46	instantiation	91, 50, 54	,  ⊢
	: , : , :
47	instantiation	91, 52, 51	,  ⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
49	instantiation	91, 52, 53	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
51	instantiation	67, 54, 55	,  ⊢
	:
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
53	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
54	instantiation	91, 56, 63	,  ⊢
	: , : , :
55	instantiation	73, 57, 58	,  ⊢
	: , : , :
56	instantiation	78, 61, 62	⊢
	: , :
57	instantiation	59, 60	⊢
	:
58	instantiation	79, 61, 62, 63	,  ⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
60	instantiation	64, 65, 77	⊢
	: , :
61	instantiation	84, 68, 80	⊢
	: , :
62	instantiation	84, 85, 66	⊢
	: , :
63	assumption		⊢
64	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
65	instantiation	67, 68, 69	⊢
	:
66	instantiation	91, 70, 71	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
68	instantiation	91, 72, 82	⊢
	: , : , :
69	instantiation	73, 74, 75	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
71	instantiation	76, 77	⊢
	:
72	instantiation	78, 80, 81	⊢
	: , :
73	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
74	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
75	instantiation	79, 80, 81, 82	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.negation.int_neg_closure
77	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
78	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
79	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
80	instantiation	91, 92, 83	⊢
	: , : , :
81	instantiation	84, 85, 86	⊢
	: , :
82	assumption		⊢
83	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
84	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
85	instantiation	91, 87, 88	⊢
	: , : , :
86	instantiation	89, 90	⊢
	:
87	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
88	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
89	theorem		⊢
	proveit.numbers.negation.int_closure
90	instantiation	91, 92, 93	⊢
	: , : , :
91	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
92	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements