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, 6*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
2	reference	44	⊢
3	instantiation	59, 51, 7	⊢
	: , : , :
4	instantiation	59, 51, 8	⊢
	: , : , :
5	instantiation	9, 53, 30, 23	⊢
	: , : , :
6	instantiation	10, 11, 12	⊢
	: , : , :
7	instantiation	59, 54, 13	⊢
	: , : , :
8	instantiation	59, 54, 30	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	14, 17, 61, 56, 19, 15, 20, 38, 37	⊢
	: , : , : , : , : , :
12	instantiation	16, 56, 61, 17, 18, 19, 20, 38, 37, 21*	⊢
	: , : , : , : , : , :
13	instantiation	59, 22, 23	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.addition.disassociation
15	instantiation	24	⊢
	: , :
16	theorem		⊢
	proveit.numbers.addition.association
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	instantiation	24	⊢
	: , :
19	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
20	instantiation	59, 45, 25	⊢
	: , : , :
21	instantiation	26, 27, 28	⊢
	: , : , :
22	instantiation	29, 53, 30	⊢
	: , :
23	assumption		⊢
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	instantiation	31, 32, 48	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.equality.sub_right_side_into
27	instantiation	33, 37, 34, 35	⊢
	: , : , :
28	instantiation	36, 37, 38	⊢
	: , :
29	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
30	instantiation	39, 40, 55	⊢
	: , :
31	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
32	instantiation	41, 42	⊢
	: , :
33	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
34	instantiation	59, 45, 43	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
36	theorem		⊢
	proveit.numbers.addition.commutation
37	instantiation	59, 45, 44	⊢
	: , : , :
38	instantiation	59, 45, 46	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
40	instantiation	59, 47, 48	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
43	instantiation	59, 51, 49	⊢
	: , : , :
44	instantiation	59, 51, 50	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
46	instantiation	59, 51, 52	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
48	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
49	instantiation	59, 54, 58	⊢
	: , : , :
50	instantiation	59, 54, 53	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
52	instantiation	59, 54, 55	⊢
	: , : , :
53	instantiation	59, 60, 56	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
55	instantiation	57, 58	⊢
	:
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
57	theorem		⊢
	proveit.numbers.negation.int_closure
58	instantiation	59, 60, 61	⊢
	: , : , :
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