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