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	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
2	reference	13	⊢
3	reference	25	⊢
4	reference	20	⊢
5	instantiation	6, 7, 8	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.equality.sub_right_side_into
7	instantiation	9, 10, 11	⊢
	: , : , :
8	instantiation	12, 25, 13	⊢
	: , :
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	14, 44, 54, 15, 16, 17, 25, 18, 20	⊢
	: , : , : , : , : , :
11	instantiation	19, 25, 20, 21	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.commutation
13	instantiation	52, 30, 22	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.addition.disassociation
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	instantiation	23	⊢
	: , :
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	24, 25	⊢
	:
19	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
20	instantiation	52, 30, 29	⊢
	: , : , :
21	instantiation	26	⊢
	:
22	instantiation	27, 28, 29	⊢
	: , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	theorem		⊢
	proveit.numbers.negation.complex_closure
25	instantiation	52, 30, 32	⊢
	: , : , :
26	axiom		⊢
	proveit.logic.equality.equals_reflexivity
27	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
28	instantiation	31, 32	⊢
	:
29	instantiation	52, 34, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	theorem		⊢
	proveit.numbers.negation.real_closure
32	instantiation	52, 34, 35	⊢
	: , : , :
33	instantiation	52, 37, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	52, 37, 38	⊢
	: , : , :
36	instantiation	50, 42	⊢
	:
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	52, 39, 40	⊢
	: , : , :
39	instantiation	41, 42, 43	⊢
	: , :
40	assumption		⊢
41	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
42	instantiation	52, 53, 44	⊢
	: , : , :
43	instantiation	45, 46, 47	⊢
	: , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
45	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
46	instantiation	52, 48, 49	⊢
	: , : , :
47	instantiation	50, 51	⊢
	:
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
50	theorem		⊢
	proveit.numbers.negation.int_closure
51	instantiation	52, 53, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat2