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	,  ⊢
	: , : , :
1	reference	20	⊢
2	instantiation	13, 4	,  ⊢
	: , : , :
3	instantiation	8, 5, 6, 7	,  ⊢
	: , : , : , :
4	instantiation	8, 9, 10, 11	,  ⊢
	: , : , : , :
5	instantiation	13, 12	,  ⊢
	: , : , :
6	instantiation	13, 14	,  ⊢
	: , : , :
7	instantiation	15, 16, 49	,  ⊢
	: , :
8	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
9	instantiation	18, 28, 57, 54, 30, 29, 33, 34, 17	,  ⊢
	: , : , : , : , : , :
10	instantiation	18, 57, 28, 29, 19, 30, 33, 34, 36, 35	,  ⊢
	: , : , : , : , : , :
11	instantiation	20, 21, 22	,  ⊢
	: , : , :
12	instantiation	27, 54, 28, 30, 33, 24, 36	,  ⊢
	: , : , : , : , : , : , :
13	axiom		⊢
	proveit.logic.equality.substitution
14	instantiation	31, 28, 57, 54, 30, 23, 33, 36, 24	,  ⊢
	: , : , : , : , : , :
15	theorem		⊢
	proveit.numbers.rounding.round_of_real_plus_int
16	instantiation	25, 40, 44	,  ⊢
	: , :
17	instantiation	26, 36, 35	⊢
	: , :
18	theorem		⊢
	proveit.numbers.addition.disassociation
19	instantiation	39	⊢
	: , :
20	axiom		⊢
	proveit.logic.equality.equals_transitivity
21	instantiation	27, 57, 54, 28, 29, 30, 33, 34, 36, 35	,  ⊢
	: , : , : , : , : , : , :
22	instantiation	31, 54, 57, 32, 33, 34, 35, 36, 37*	,  ⊢
	: , : , : , : , : , :
23	instantiation	39	⊢
	: , :
24	instantiation	55, 43, 38	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
26	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
27	theorem		⊢
	proveit.numbers.addition.leftward_commutation
28	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
29	instantiation	39	⊢
	: , :
30	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
31	theorem		⊢
	proveit.numbers.addition.association
32	instantiation	39	⊢
	: , :
33	instantiation	55, 43, 40	⊢
	: , : , :
34	instantiation	55, 43, 41	⊢
	: , : , :
35	instantiation	55, 43, 42	⊢
	: , : , :
36	instantiation	55, 43, 44	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
38	instantiation	55, 47, 45	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
40	assumption		⊢
41	instantiation	55, 47, 46	⊢
	: , : , :
42	instantiation	55, 47, 48	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
44	assumption		⊢
45	instantiation	55, 51, 49	⊢
	: , : , :
46	instantiation	55, 51, 50	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
48	instantiation	55, 51, 52	⊢
	: , : , :
49	instantiation	55, 56, 53	⊢
	: , : , :
50	instantiation	55, 56, 54	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
52	instantiation	55, 56, 57	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
55	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements