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