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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5, 38, 6, 7, 8, 9, 14, 10, 13, 11	⊢
	: , : , : , : , : , : , : , :
3	instantiation	12, 13, 14, 15	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	16	⊢
	: , :
9	instantiation	36, 20, 17	⊢
	: , : , :
10	instantiation	36, 20, 18	⊢
	: , : , :
11	instantiation	22	⊢
	:
12	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
13	instantiation	36, 20, 19	⊢
	: , : , :
14	instantiation	36, 20, 21	⊢
	: , : , :
15	instantiation	22	⊢
	:
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	instantiation	27, 28, 23	⊢
	: , : , :
18	instantiation	36, 25, 24	⊢
	: , : , :
19	instantiation	36, 25, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	27, 28, 29	⊢
	: , : , :
22	axiom		⊢
	proveit.logic.equality.equals_reflexivity
23	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
24	instantiation	36, 31, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	36, 31, 35	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
28	instantiation	32, 33	⊢
	: , :
29	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
30	instantiation	34, 35	⊢
	:
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
34	theorem		⊢
	proveit.numbers.negation.int_closure
35	instantiation	36, 37, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1