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