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	49, 9	⊢
	: , :
6	instantiation	19	⊢
	:
7	instantiation	19	⊢
	:
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
9	instantiation	10, 11, 12, 13	⊢
	: , : , : , : , :
10	theorem		⊢
	proveit.core_expr_types.tuples.merge
11	instantiation	16, 14, 15	⊢
	:
12	instantiation	16, 17, 18	⊢
	:
13	instantiation	19	⊢
	:
14	instantiation	23, 20, 21	⊢
	: , :
15	instantiation	26, 22	⊢
	: , :
16	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
17	instantiation	23, 24, 25	⊢
	: , :
18	instantiation	26, 27	⊢
	: , :
19	axiom		⊢
	proveit.logic.equality.equals_reflexivity
20	instantiation	56, 32, 31	⊢
	: , : , :
21	instantiation	28, 29	⊢
	:
22	instantiation	30, 31	⊢
	:
23	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
24	instantiation	56, 32, 33	⊢
	: , : , :
25	instantiation	56, 34, 35	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
27	instantiation	36, 55, 37, 58, 38, 39*, 40*	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.negation.int_closure
29	instantiation	56, 41, 42	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
31	instantiation	44, 59, 43	⊢
	: , :
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
33	instantiation	44, 59, 62	⊢
	: , :
34	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
35	instantiation	45, 59	⊢
	:
36	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
38	instantiation	46, 47	⊢
	: , :
39	instantiation	48, 53	⊢
	:
40	instantiation	49, 50	⊢
	: , :
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
43	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
44	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
45	theorem		⊢
	proveit.numbers.negation.int_neg_closure
46	theorem		⊢
	proveit.numbers.ordering.relax_less
47	instantiation	51, 62	⊢
	:
48	theorem		⊢
	proveit.numbers.addition.elim_zero_left
49	theorem		⊢
	proveit.logic.equality.equals_reversal
50	instantiation	52, 53, 54	⊢
	: , :
51	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
52	theorem		⊢
	proveit.numbers.addition.commutation
53	instantiation	56, 57, 55	⊢
	: , : , :
54	instantiation	56, 57, 58	⊢
	: , : , :
55	instantiation	60, 61, 59	⊢
	: , : , :
56	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
57	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
58	instantiation	60, 61, 62	⊢
	: , : , :
59	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
60	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
61	instantiation	63, 64	⊢
	: , :
62	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
63	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements