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