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	⊢
	: , : , :
1	reference	6	⊢
2	instantiation	3, 4, 5	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.equals_transitivity
4	instantiation	6, 7	⊢
	: , : , :
5	instantiation	8, 9, 10, 11	⊢
	: , : , : , :
6	axiom		⊢
	proveit.logic.equality.substitution
7	theorem		⊢
	proveit.numbers.negation.negated_zero
8	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
9	instantiation	12, 13, 18, 14, 19, 15, 23, 20, 16, 22	⊢
	: , : , : , : , : , :
10	instantiation	17, 18, 45, 19, 23, 20, 22	⊢
	: , : , : , :
11	instantiation	21, 22, 23, 24	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.disassociation
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	25	⊢
	: , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
17	theorem		⊢
	proveit.numbers.addition.elim_zero_any
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
19	instantiation	25	⊢
	: , :
20	instantiation	43, 28, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
22	instantiation	43, 28, 27	⊢
	: , : , :
23	instantiation	43, 28, 29	⊢
	: , : , :
24	instantiation	30	⊢
	:
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26	instantiation	43, 32, 31	⊢
	: , : , :
27	instantiation	43, 32, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	34, 35, 36	⊢
	: , : , :
30	axiom		⊢
	proveit.logic.equality.equals_reflexivity
31	instantiation	43, 38, 37	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	43, 38, 42	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
35	instantiation	39, 40	⊢
	: , :
36	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
37	instantiation	41, 42	⊢
	:
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
41	theorem		⊢
	proveit.numbers.negation.int_closure
42	instantiation	43, 44, 45	⊢
	: , : , :
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat1