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