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, 8, 9	,  ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	reference	34	⊢
3	reference	44	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	10	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	12, 11	⊢
	:
8	reference	11	⊢
9	instantiation	12, 13	,  ⊢
	:
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	42, 15, 14	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.negation.complex_closure
13	instantiation	42, 15, 16	,  ⊢
	: , : , :
14	instantiation	42, 18, 17	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	42, 18, 19	,  ⊢
	: , : , :
17	instantiation	42, 20, 28	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	42, 20, 21	,  ⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
21	instantiation	42, 22, 23	,  ⊢
	: , : , :
22	instantiation	31, 24, 25	⊢
	: , :
23	assumption		⊢
24	instantiation	35, 26, 32	⊢
	: , :
25	instantiation	40, 27	⊢
	:
26	instantiation	40, 36	⊢
	:
27	instantiation	35, 28, 32	⊢
	: , :
28	instantiation	42, 29, 30	⊢
	: , : , :
29	instantiation	31, 32, 33	⊢
	: , :
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
32	instantiation	42, 43, 34	⊢
	: , : , :
33	instantiation	35, 36, 37	⊢
	: , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
35	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
36	instantiation	42, 38, 39	⊢
	: , : , :
37	instantiation	40, 41	⊢
	:
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
39	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
40	theorem		⊢
	proveit.numbers.negation.int_closure
41	instantiation	42, 43, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat2