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, 37, 5, 6, 7, 8, 15, 11, 9	⊢
	: , : , : , : , : , :
3	instantiation	10, 15, 11, 12	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	instantiation	13	⊢
	: , :
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	14, 15	⊢
	:
10	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
11	instantiation	38, 18, 16	⊢
	: , : , :
12	instantiation	17	⊢
	:
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14	theorem		⊢
	proveit.numbers.negation.complex_closure
15	instantiation	38, 18, 19	⊢
	: , : , :
16	instantiation	38, 21, 20	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.equality.equals_reflexivity
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	38, 21, 22	⊢
	: , : , :
20	instantiation	38, 24, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	38, 24, 33	⊢
	: , : , :
23	instantiation	38, 25, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	27, 28, 35	⊢
	: , :
26	instantiation	29, 30	⊢
	: , :
27	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
28	instantiation	31, 32, 33	⊢
	: , :
29	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
32	instantiation	34, 35	⊢
	:
33	instantiation	38, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.negation.int_closure
35	instantiation	38, 39, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
40	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos