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	4	⊢
2	instantiation	4, 5, 6	,  ⊢
	: , : , :
3	instantiation	11, 7, 14*, 8*	,  ⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.equals_transitivity
5	instantiation	11, 9, 10*, 13*	,  ⊢
	: , : , :
6	instantiation	11, 12, 13*, 14*	,  ⊢
	: , : , :
7	modus ponens	15, 16	,  ⊢
8	instantiation	21, 53	⊢
	: , :
9	modus ponens	17, 18	,  ⊢
10	instantiation	21, 53	⊢
	: , :
11	axiom		⊢
	proveit.logic.equality.substitution
12	modus ponens	19, 20	,  ⊢
13	instantiation	21, 53	⊢
	: , :
14	instantiation	21, 53	⊢
	: , :
15	instantiation	24, 25	⊢
	: , : , : , : , : , : , :
16	generalization	22	,  ⊢
17	instantiation	24, 25	⊢
	: , : , : , : , : , : , :
18	generalization	23	,  ⊢
19	instantiation	24, 25	⊢
	: , : , : , : , : , : , :
20	generalization	26	,  ⊢
21	theorem		⊢
	proveit.core_expr_types.conditionals.satisfied_condition_reduction
22	instantiation	27, 31, 58, 32, 28, 33, 35, 34, 36, 37	, ,  ⊢
	: , : , : , : , : , :
23	instantiation	30, 31, 58, 54, 32, 29, 35, 36, 34, 37	, ,  ⊢
	: , : , : , : , : , : , :
24	theorem		⊢
	proveit.core_expr_types.lambda_maps.general_lambda_substitution
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
26	instantiation	30, 31, 54, 58, 32, 33, 34, 35, 36, 37	, ,  ⊢
	: , : , : , : , : , : , :
27	theorem		⊢
	proveit.numbers.multiplication.association
28	instantiation	38	⊢
	: , :
29	instantiation	38	⊢
	: , :
30	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
31	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
32	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
33	instantiation	38	⊢
	: , :
34	instantiation	59, 41, 39	⊢
	: , : , :
35	instantiation	59, 41, 40	⊢
	: , : , :
36	instantiation	59, 41, 44	⊢
	: , : , :
37	instantiation	59, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
39	assumption		⊢
40	assumption		⊢
41	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
42	instantiation	43, 44, 45	⊢
	: , :
43	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
44	instantiation	59, 47, 46	⊢
	: , : , :
45	instantiation	59, 47, 48	⊢
	: , : , :
46	instantiation	59, 50, 49	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
48	instantiation	59, 50, 51	⊢
	: , : , :
49	instantiation	59, 52, 53	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
51	instantiation	59, 60, 54	⊢
	: , : , :
52	instantiation	55, 56, 57	⊢
	: , :
53	assumption		⊢
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
55	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
56	instantiation	59, 60, 58	⊢
	: , : , :
57	instantiation	59, 60, 61	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
59	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
*equality replacement requirements