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	24	⊢
2	modus ponens	4, 5	⊢
3	modus ponens	6, 7	⊢
4	instantiation	9	⊢
	: , : , :
5	generalization	8	⊢
6	instantiation	9	⊢
	: , : , :
7	generalization	10	⊢
8	instantiation	13, 91, 11, 12	,  ⊢
	: , :
9	theorem		⊢
	proveit.numbers.summation.summation_real_closure
10	instantiation	13, 91, 14, 15	,  ⊢
	: , :
11	instantiation	18, 30, 110	,  ⊢
	: , :
12	instantiation	16, 17	,  ⊢
	:
13	theorem		⊢
	proveit.numbers.division.div_real_closure
14	instantiation	18, 19, 110	,  ⊢
	: , :
15	instantiation	20, 21	,  ⊢
	:
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
17	instantiation	108, 22, 23	,  ⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
19	instantiation	24, 25, 26	,  ⊢
	: , :
20	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
21	instantiation	27, 28, 110	,  ⊢
	: , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
23	instantiation	29, 30, 31	,  ⊢
	:
24	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
25	instantiation	108, 96, 32	,  ⊢
	: , : , :
26	instantiation	33, 91	⊢
	:
27	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
28	instantiation	34, 35, 36	,  ⊢
	:
29	theorem		⊢
	proveit.numbers.exponentiation.sqrd_pos_closure
30	instantiation	108, 96, 37	,  ⊢
	: , : , :
31	instantiation	38, 45, 39, 40	,  ⊢
	: , :
32	instantiation	108, 101, 41	,  ⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.negation.real_closure
34	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
35	instantiation	98, 41, 42	,  ⊢
	: , :
36	instantiation	43, 44	,  ⊢
	: , :
37	instantiation	108, 101, 45	,  ⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_int
39	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
40	instantiation	46, 47, 48	,  ⊢
	: , : , :
41	instantiation	108, 49, 69	,  ⊢
	: , : , :
42	instantiation	108, 50, 51	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.ordering.relax_less
44	instantiation	52, 53	,  ⊢
	: , :
45	instantiation	108, 54, 56	,  ⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
47	instantiation	55, 61, 62, 56	,  ⊢
	: , : , :
48	instantiation	57, 58	⊢
	:
49	instantiation	94, 71, 99	⊢
	: , :
50	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
51	instantiation	63, 74	⊢
	:
52	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
53	instantiation	86, 59, 60	,  ⊢
	: , : , :
54	instantiation	94, 61, 62	⊢
	: , :
55	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
56	assumption		⊢
57	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
58	instantiation	63, 64	⊢
	:
59	instantiation	65, 91, 66, 67, 80, 68*	⊢
	: , : , :
60	instantiation	92, 71, 99, 69	,  ⊢
	: , : , :
61	instantiation	98, 70, 102	⊢
	: , :
62	instantiation	105, 71	⊢
	:
63	theorem		⊢
	proveit.numbers.negation.int_neg_closure
64	instantiation	72, 73, 74	⊢
	: , :
65	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
67	instantiation	108, 96, 75	⊢
	: , : , :
68	instantiation	76, 77, 78	⊢
	: , : , :
69	assumption		⊢
70	instantiation	105, 99	⊢
	:
71	instantiation	98, 81, 102	⊢
	: , :
72	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
73	instantiation	79, 81, 80	⊢
	:
74	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
75	instantiation	108, 101, 81	⊢
	: , : , :
76	theorem		⊢
	proveit.logic.equality.sub_right_side_into
77	instantiation	82, 84	⊢
	:
78	instantiation	83, 84, 85	⊢
	: , :
79	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
80	instantiation	86, 87, 88	⊢
	: , : , :
81	instantiation	108, 89, 93	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.addition.elim_zero_right
83	theorem		⊢
	proveit.numbers.addition.commutation
84	instantiation	108, 90, 91	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
86	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
87	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
88	instantiation	92, 102, 95, 93	⊢
	: , : , :
89	instantiation	94, 102, 95	⊢
	: , :
90	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
91	instantiation	108, 96, 97	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
93	assumption		⊢
94	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
95	instantiation	98, 99, 100	⊢
	: , :
96	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
97	instantiation	108, 101, 102	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
99	instantiation	108, 103, 104	⊢
	: , : , :
100	instantiation	105, 106	⊢
	:
101	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
102	instantiation	108, 109, 107	⊢
	: , : , :
103	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
104	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
105	theorem		⊢
	proveit.numbers.negation.int_closure
106	instantiation	108, 109, 110	⊢
	: , : , :
107	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
108	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
109	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
110	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements