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.logic.booleans.conjunction.redundant_conjunction_general
2	reference	23	⊢
3	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
4	instantiation	6, 7	⊢
	:
5	instantiation	8, 9, 10, 46, 11, 12*, 13*	⊢
	: , : , :
6	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
7	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
8	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
9	instantiation	64, 53, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
11	instantiation	15, 16	⊢
	: , :
12	instantiation	27, 17, 18	⊢
	: , : , :
13	instantiation	19, 20, 21, 22	⊢
	: , : , : , :
14	instantiation	64, 58, 23	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.ordering.relax_less
16	instantiation	24, 66	⊢
	:
17	instantiation	33, 63, 34, 35, 36, 37, 25, 38, 43	⊢
	: , : , : , : , : , :
18	instantiation	26, 35, 34, 37, 36, 38, 43	⊢
	: , : , : , :
19	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
20	instantiation	27, 28, 29	⊢
	: , : , :
21	instantiation	47	⊢
	:
22	instantiation	30, 31	⊢
	: , :
23	instantiation	32, 55, 59	⊢
	: , :
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
26	theorem		⊢
	proveit.numbers.addition.elim_zero_any
27	axiom		⊢
	proveit.logic.equality.equals_transitivity
28	instantiation	33, 63, 34, 35, 36, 37, 40, 38, 43	⊢
	: , : , : , : , : , :
29	instantiation	39, 40, 43, 41	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.equality.equals_reversal
31	instantiation	42, 43	⊢
	:
32	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
33	theorem		⊢
	proveit.numbers.addition.disassociation
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
36	instantiation	44	⊢
	: , :
37	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
38	instantiation	64, 48, 45	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
40	instantiation	64, 48, 46	⊢
	: , : , :
41	instantiation	47	⊢
	:
42	theorem		⊢
	proveit.numbers.addition.elim_zero_left
43	instantiation	64, 48, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
45	instantiation	64, 53, 50	⊢
	: , : , :
46	instantiation	51, 52, 66	⊢
	: , : , :
47	axiom		⊢
	proveit.logic.equality.equals_reflexivity
48	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
49	instantiation	64, 53, 54	⊢
	: , : , :
50	instantiation	64, 58, 55	⊢
	: , : , :
51	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
52	instantiation	56, 57	⊢
	: , :
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
54	instantiation	64, 58, 59	⊢
	: , : , :
55	instantiation	60, 61	⊢
	:
56	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
58	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
59	instantiation	64, 62, 63	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.negation.int_closure
61	instantiation	64, 65, 66	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
64	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
65	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
66	assumption		⊢
*equality replacement requirements