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	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	7, 3, 4	⊢
	: , : , :
3	instantiation	5, 88, 98, 22, 6, 23, 31, 13	⊢
	: , : , : , : , : , :
4	instantiation	7, 8, 9	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.addition.disassociation
6	instantiation	29	⊢
	: , :
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	10, 88, 22, 23, 31, 13	⊢
	: , : , : , : , : , : , :
9	instantiation	11, 22, 98, 88, 23, 12, 31, 13, 14*	⊢
	: , : , : , : , : , :
10	theorem		⊢
	proveit.numbers.addition.leftward_commutation
11	theorem		⊢
	proveit.numbers.addition.association
12	instantiation	29	⊢
	: , :
13	instantiation	96, 34, 15	⊢
	: , : , :
14	instantiation	16, 17, 18*	⊢
	: , :
15	instantiation	40, 41, 19, 20	⊢
	: , :
16	theorem		⊢
	proveit.logic.equality.equals_reversal
17	instantiation	21, 22, 98, 88, 23, 24, 25, 31, 26*	⊢
	: , : , : , : , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
19	instantiation	45, 27, 98	⊢
	: , :
20	instantiation	47, 28, 49	⊢
	: , :
21	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
22	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
23	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
24	instantiation	29	⊢
	: , :
25	instantiation	96, 34, 41	⊢
	: , : , :
26	instantiation	30, 31	⊢
	:
27	instantiation	96, 50, 32	⊢
	: , : , :
28	instantiation	96, 53, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
30	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
31	instantiation	96, 34, 35	⊢
	: , : , :
32	instantiation	96, 55, 73	⊢
	: , : , :
33	instantiation	96, 57, 70	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
35	modus ponens	36, 37	⊢
36	instantiation	38	⊢
	: , : , :
37	generalization	39	⊢
38	theorem		⊢
	proveit.numbers.summation.summation_real_closure
39	instantiation	40, 41, 42, 43	,  ⊢
	: , :
40	theorem		⊢
	proveit.numbers.division.div_real_closure
41	instantiation	96, 50, 44	⊢
	: , : , :
42	instantiation	45, 46, 98	,  ⊢
	: , :
43	instantiation	47, 48, 49	,  ⊢
	: , :
44	instantiation	96, 55, 85	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
46	instantiation	96, 50, 51	,  ⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
48	instantiation	96, 53, 52	,  ⊢
	: , : , :
49	instantiation	96, 53, 54	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
51	instantiation	96, 55, 59	,  ⊢
	: , : , :
52	instantiation	96, 57, 56	,  ⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
54	instantiation	96, 57, 58	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
56	instantiation	72, 59, 60	,  ⊢
	:
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
58	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
59	instantiation	96, 61, 68	,  ⊢
	: , : , :
60	instantiation	78, 62, 63	,  ⊢
	: , : , :
61	instantiation	83, 66, 67	⊢
	: , :
62	instantiation	64, 65	⊢
	:
63	instantiation	84, 66, 67, 68	,  ⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
65	instantiation	69, 70, 82	⊢
	: , :
66	instantiation	89, 73, 85	⊢
	: , :
67	instantiation	89, 90, 71	⊢
	: , :
68	assumption		⊢
69	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
70	instantiation	72, 73, 74	⊢
	:
71	instantiation	96, 75, 76	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
73	instantiation	96, 77, 87	⊢
	: , : , :
74	instantiation	78, 79, 80	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
76	instantiation	81, 82	⊢
	:
77	instantiation	83, 85, 86	⊢
	: , :
78	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
79	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
80	instantiation	84, 85, 86, 87	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.negation.int_neg_closure
82	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
83	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
84	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
85	instantiation	96, 97, 88	⊢
	: , : , :
86	instantiation	89, 90, 91	⊢
	: , :
87	assumption		⊢
88	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
89	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
90	instantiation	96, 92, 93	⊢
	: , : , :
91	instantiation	94, 95	⊢
	:
92	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
93	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
94	theorem		⊢
	proveit.numbers.negation.int_closure
95	instantiation	96, 97, 98	⊢
	: , : , :
96	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
97	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
98	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements