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	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	4, 5, 6	⊢
	: , : , :
3	instantiation	7, 20, 8	⊢
	: , :
4	axiom		⊢
	proveit.logic.equality.equals_transitivity
5	instantiation	9, 39, 49, 10, 11, 12, 20, 13, 15	⊢
	: , : , : , : , : , :
6	instantiation	14, 20, 15, 16	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.addition.commutation
8	instantiation	47, 25, 17	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.addition.disassociation
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	instantiation	18	⊢
	: , :
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	19, 20	⊢
	:
14	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
15	instantiation	47, 25, 24	⊢
	: , : , :
16	instantiation	21	⊢
	:
17	instantiation	22, 23, 24	⊢
	: , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	theorem		⊢
	proveit.numbers.negation.complex_closure
20	instantiation	47, 25, 27	⊢
	: , : , :
21	axiom		⊢
	proveit.logic.equality.equals_reflexivity
22	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
23	instantiation	26, 27	⊢
	:
24	instantiation	47, 29, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	theorem		⊢
	proveit.numbers.negation.real_closure
27	instantiation	47, 29, 30	⊢
	: , : , :
28	instantiation	47, 32, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	47, 32, 33	⊢
	: , : , :
31	instantiation	45, 37	⊢
	:
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	47, 34, 35	⊢
	: , : , :
34	instantiation	36, 37, 38	⊢
	: , :
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
37	instantiation	47, 48, 39	⊢
	: , : , :
38	instantiation	40, 41, 42	⊢
	: , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
40	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
41	instantiation	47, 43, 44	⊢
	: , : , :
42	instantiation	45, 46	⊢
	:
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
44	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
45	theorem		⊢
	proveit.numbers.negation.int_closure
46	instantiation	47, 48, 49	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat2