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