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	, , ,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.divisibility.common_factor_elimination
2	reference	20	⊢
3	instantiation	120, 115, 6	⊢
	: , : , :
4	instantiation	57, 7, 8	, , ,  ⊢
	: , : , :
5	reference	22	⊢
6	instantiation	123, 124, 26	⊢
	: , : , :
7	instantiation	9, 10, 18	, , ,  ⊢
	: , : , :
8	instantiation	11, 20	⊢
	:
9	theorem		⊢
	proveit.logic.equality.sub_left_side_into
10	instantiation	12, 46, 15, 122, 13	, , ,  ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.exponentiation.square_expansion
12	theorem		⊢
	proveit.numbers.divisibility.common_exponent_introduction
13	instantiation	14, 15, 46, 16	, , ,  ⊢
	: , :
14	theorem		⊢
	proveit.numbers.divisibility.even__if__power_is_even
15	instantiation	120, 25, 102	⊢
	: , : , :
16	instantiation	57, 17, 18	, , ,  ⊢
	: , : , :
17	instantiation	19, 20, 21, 22	⊢
	: , :
18	instantiation	57, 23, 24	, , ,  ⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.divisibility.left_factor_divisibility
20	instantiation	120, 115, 28	⊢
	: , : , :
21	instantiation	120, 25, 26	⊢
	: , : , :
22	instantiation	56, 122	⊢
	:
23	instantiation	27, 28, 29, 93, 30	, , ,  ⊢
	: , : , :
24	instantiation	31, 32, 109, 122, 33*	,  ⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
26	instantiation	34, 35, 67	⊢
	: , :
27	theorem		⊢
	proveit.numbers.exponentiation.exp_eq_real
28	instantiation	120, 103, 36	⊢
	: , : , :
29	instantiation	37, 42, 116	,  ⊢
	: , :
30	instantiation	38, 116, 42, 39, 40, 41*	, , ,  ⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.exponentiation.posnat_power_of_product
32	instantiation	120, 115, 42	⊢
	: , : , :
33	instantiation	43, 85, 44*	⊢
	:
34	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
35	instantiation	120, 45, 125	⊢
	: , : , :
36	instantiation	120, 110, 46	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
38	theorem		⊢
	proveit.numbers.multiplication.right_mult_eq_real
39	instantiation	47, 93, 116, 48	,  ⊢
	: , :
40	instantiation	49, 50	⊢
	: , :
41	instantiation	57, 51, 52	,  ⊢
	: , : , :
42	instantiation	120, 103, 53	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.exponentiation.square_abs_rational_simp
44	instantiation	54, 122, 55	⊢
	: , :
45	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
46	instantiation	120, 117, 67	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.division.div_real_closure
48	instantiation	56, 125	⊢
	:
49	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
50	assumption		⊢
51	instantiation	57, 58, 59	,  ⊢
	: , : , :
52	instantiation	60, 61, 62, 63	⊢
	: , : , : , :
53	instantiation	120, 64, 65	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.exponentiation.nth_power_of_nth_root
55	instantiation	66, 67	⊢
	:
56	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
57	theorem		⊢
	proveit.logic.equality.sub_right_side_into
58	instantiation	68, 82, 83, 69, 70	,  ⊢
	: , : , : , : , :
59	instantiation	90, 71, 72	⊢
	: , : , :
60	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
61	instantiation	99, 73	⊢
	: , : , :
62	instantiation	99, 74	⊢
	: , : , :
63	instantiation	108, 82	⊢
	:
64	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
65	instantiation	75, 76	⊢
	:
66	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
67	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
68	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_denom_left
69	instantiation	120, 78, 77	⊢
	: , : , :
70	instantiation	120, 78, 79	⊢
	: , : , :
71	instantiation	99, 80	⊢
	: , : , :
72	instantiation	99, 81	⊢
	: , : , :
73	instantiation	101, 82	⊢
	:
74	instantiation	101, 83	⊢
	:
75	theorem		⊢
	proveit.numbers.absolute_value.abs_rational_nonzero_closure
76	instantiation	84, 85, 86	⊢
	:
77	instantiation	120, 87, 106	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
79	instantiation	120, 87, 88	⊢
	: , : , :
80	instantiation	99, 89	⊢
	: , : , :
81	instantiation	90, 91, 92	⊢
	: , : , :
82	instantiation	120, 115, 93	⊢
	: , : , :
83	instantiation	120, 115, 94	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_rational_is_rational_nonzero
85	assumption		⊢
86	instantiation	95, 107, 96	⊢
	: , :
87	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
88	instantiation	120, 113, 97	⊢
	: , : , :
89	instantiation	98, 109	⊢
	:
90	axiom		⊢
	proveit.logic.equality.equals_transitivity
91	instantiation	99, 100	⊢
	: , : , :
92	instantiation	101, 109	⊢
	:
93	instantiation	123, 124, 102	⊢
	: , : , :
94	instantiation	120, 103, 104	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
96	instantiation	105, 106, 107	⊢
	: , :
97	instantiation	120, 121, 125	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
99	axiom		⊢
	proveit.logic.equality.substitution
100	instantiation	108, 109	⊢
	:
101	theorem		⊢
	proveit.numbers.division.frac_one_denom
102	assumption		⊢
103	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
104	instantiation	120, 110, 111	⊢
	: , : , :
105	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
106	instantiation	120, 113, 112	⊢
	: , : , :
107	instantiation	120, 113, 114	⊢
	: , : , :
108	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
109	instantiation	120, 115, 116	⊢
	: , : , :
110	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
111	instantiation	120, 117, 118	⊢
	: , : , :
112	instantiation	120, 121, 119	⊢
	: , : , :
113	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
114	instantiation	120, 121, 122	⊢
	: , : , :
115	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
116	instantiation	123, 124, 125	⊢
	: , : , :
117	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
118	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
119	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
120	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
121	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
122	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
123	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
124	instantiation	126, 127	⊢
	: , :
125	assumption		⊢
126	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
127	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements