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