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