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