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	,  ⊢
	:
1	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
2	instantiation	3, 4, 61	,  ⊢
	: , :
3	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
4	instantiation	5, 6, 7	,  ⊢
	:
5	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
6	instantiation	49, 8, 9	,  ⊢
	: , :
7	instantiation	10, 11	,  ⊢
	: , :
8	instantiation	59, 12, 27	,  ⊢
	: , : , :
9	instantiation	59, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.ordering.relax_less
11	instantiation	15, 16	,  ⊢
	: , :
12	instantiation	45, 26, 50	⊢
	: , :
13	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
14	instantiation	17, 18	⊢
	:
15	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
16	instantiation	29, 19, 20	,  ⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.negation.int_neg_closure
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
19	instantiation	21, 44, 22, 23, 24, 25*	⊢
	: , : , :
20	instantiation	36, 26, 50, 27	,  ⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
23	instantiation	59, 47, 28	⊢
	: , : , :
24	instantiation	29, 30, 31	⊢
	: , : , :
25	instantiation	32, 33, 34	⊢
	: , : , :
26	instantiation	49, 35, 53	⊢
	: , :
27	assumption		⊢
28	instantiation	59, 52, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
30	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
31	instantiation	36, 53, 46, 42	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.equality.sub_right_side_into
33	instantiation	37, 39	⊢
	:
34	instantiation	38, 39, 40	⊢
	: , :
35	instantiation	59, 41, 42	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
37	theorem		⊢
	proveit.numbers.addition.elim_zero_right
38	theorem		⊢
	proveit.numbers.addition.commutation
39	instantiation	59, 43, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
41	instantiation	45, 53, 46	⊢
	: , :
42	assumption		⊢
43	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
44	instantiation	59, 47, 48	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
46	instantiation	49, 50, 51	⊢
	: , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
48	instantiation	59, 52, 53	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
50	instantiation	59, 54, 55	⊢
	: , : , :
51	instantiation	56, 57	⊢
	:
52	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
53	instantiation	59, 60, 58	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
55	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
56	theorem		⊢
	proveit.numbers.negation.int_closure
57	instantiation	59, 60, 61	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
59	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements