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, 10	,  ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	reference	46	⊢
3	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
4	instantiation	11	⊢
	: , :
5	instantiation	11	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	14, 12	⊢
	:
8	instantiation	47, 19, 13	⊢
	: , : , :
9	instantiation	47, 19, 18	⊢
	: , : , :
10	instantiation	14, 15	⊢
	:
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	47, 19, 16	⊢
	: , : , :
13	instantiation	17, 18	⊢
	:
14	theorem		⊢
	proveit.numbers.negation.complex_closure
15	instantiation	47, 19, 20	⊢
	: , : , :
16	instantiation	47, 23, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.negation.real_closure
18	instantiation	47, 23, 22	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	47, 23, 24	⊢
	: , : , :
21	instantiation	47, 27, 25	⊢
	: , : , :
22	instantiation	47, 27, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	47, 27, 40	⊢
	: , : , :
25	instantiation	47, 28, 29	⊢
	: , : , :
26	instantiation	47, 30, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	33, 40, 32	⊢
	: , :
29	assumption		⊢
30	instantiation	33, 34, 43	⊢
	: , :
31	instantiation	35, 36	⊢
	: , :
32	instantiation	38, 43, 37	⊢
	: , :
33	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
34	instantiation	38, 39, 40	⊢
	: , :
35	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
36	assumption		⊢
37	instantiation	42, 41	⊢
	:
38	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
39	instantiation	42, 43	⊢
	:
40	instantiation	47, 45, 44	⊢
	: , : , :
41	instantiation	47, 45, 46	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.negation.int_closure
43	instantiation	47, 48, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
47	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
49	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos