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