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