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