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, 7	⊢
	: , : , :
1	theorem		⊢
	proveit.core_expr_types.expr_arrays.varray_eq_via_elem_eq
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
3	instantiation	8	⊢
	: , : , :
4	instantiation	8	⊢
	: , : , :
5	instantiation	20	⊢
	:
6	instantiation	20	⊢
	:
7	instantiation	9, 10	⊢
	: , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
9	theorem		⊢
	proveit.logic.equality.equals_reversal
10	instantiation	11, 12, 13, 14	⊢
	: , : , : , : , :
11	theorem		⊢
	proveit.core_expr_types.tuples.merge
12	instantiation	17, 15, 16	⊢
	:
13	instantiation	17, 18, 19	⊢
	:
14	instantiation	20	⊢
	:
15	instantiation	24, 21, 22	⊢
	: , :
16	instantiation	27, 23	⊢
	: , :
17	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
18	instantiation	24, 25, 26	⊢
	: , :
19	instantiation	27, 28	⊢
	: , :
20	axiom		⊢
	proveit.logic.equality.equals_reflexivity
21	instantiation	52, 32, 31	⊢
	: , : , :
22	instantiation	52, 34, 29	⊢
	: , : , :
23	instantiation	30, 31	⊢
	:
24	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
25	instantiation	52, 32, 33	⊢
	: , : , :
26	instantiation	52, 34, 35	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
28	instantiation	36, 54, 37, 51, 38, 39*, 40*	⊢
	: , : , :
29	instantiation	43, 41	⊢
	:
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
31	instantiation	42, 58, 41	⊢
	: , :
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
33	instantiation	42, 58, 55	⊢
	: , :
34	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
35	instantiation	43, 58	⊢
	:
36	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
38	instantiation	44, 45	⊢
	: , :
39	instantiation	46, 49	⊢
	:
40	instantiation	47, 48, 49	⊢
	: , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
42	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
43	theorem		⊢
	proveit.numbers.negation.int_neg_closure
44	theorem		⊢
	proveit.numbers.ordering.relax_less
45	instantiation	50, 55	⊢
	:
46	theorem		⊢
	proveit.numbers.addition.elim_zero_left
47	theorem		⊢
	proveit.numbers.addition.commutation
48	instantiation	52, 53, 51	⊢
	: , : , :
49	instantiation	52, 53, 54	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
51	instantiation	56, 57, 55	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
54	instantiation	56, 57, 58	⊢
	: , : , :
55	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
56	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
57	instantiation	59, 60	⊢
	: , :
58	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
59	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements