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