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	,  ⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	5, 51, 26, 6, 11, 27, 30, 34, 13, 14	,  ⊢
	: , : , : , : , : , : , :
3	instantiation	9, 47, 51, 7, 11, 30, 34, 13, 14, 8*	,  ⊢
	: , : , : , : , : , :
4	instantiation	9, 51, 26, 10, 11, 27, 30, 12, 13, 14, 15*	,  ⊢
	: , : , : , : , : , :
5	theorem		⊢
	proveit.numbers.addition.leftward_commutation
6	instantiation	35	⊢
	: , :
7	instantiation	35	⊢
	: , :
8	instantiation	19, 16, 17*	⊢
	: , :
9	theorem		⊢
	proveit.numbers.addition.association
10	instantiation	35	⊢
	: , :
11	instantiation	35	⊢
	: , :
12	instantiation	18, 30, 34	⊢
	: , :
13	instantiation	18, 29, 31	⊢
	: , :
14	instantiation	18, 30, 31	⊢
	: , :
15	instantiation	19, 20, 21*	⊢
	: , :
16	instantiation	25, 26, 51, 47, 27, 22, 23, 34, 24*	⊢
	: , : , : , : , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
18	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
19	theorem		⊢
	proveit.logic.equality.equals_reversal
20	instantiation	25, 26, 51, 47, 27, 28, 29, 30, 31	⊢
	: , : , : , : , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_2
22	instantiation	35	⊢
	: , :
23	instantiation	49, 37, 32	⊢
	: , : , :
24	instantiation	33, 34	⊢
	:
25	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
26	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	instantiation	35	⊢
	: , :
29	instantiation	49, 37, 36	⊢
	: , : , :
30	instantiation	49, 37, 38	⊢
	: , : , :
31	assumption		⊢
32	instantiation	49, 41, 39	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
34	assumption		⊢
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
36	instantiation	49, 41, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	instantiation	49, 41, 42	⊢
	: , : , :
39	instantiation	49, 45, 43	⊢
	: , : , :
40	instantiation	49, 45, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
42	instantiation	49, 45, 46	⊢
	: , : , :
43	instantiation	49, 50, 47	⊢
	: , : , :
44	instantiation	49, 50, 48	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
46	instantiation	49, 50, 51	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
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.nat2
*equality replacement requirements