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, 5, 6, 7*	,  ⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.exp_factored_real
2	reference	29	⊢
3	reference	34	⊢
4	instantiation	8, 34, 9	⊢
	: , :
5	reference	37	⊢
6	instantiation	10, 11	⊢
	: , :
7	instantiation	12, 13	⊢
	:
8	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
9	instantiation	44, 40, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.logic.equality.equals_reversal
11	instantiation	15, 16, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
13	instantiation	44, 36, 18	⊢
	: , : , :
14	instantiation	44, 42, 19	⊢
	: , : , :
15	axiom		⊢
	proveit.logic.equality.equals_transitivity
16	instantiation	20, 21, 22, 46, 23, 24, 27, 25, 33	⊢
	: , : , : , : , : , :
17	instantiation	26, 33, 27, 28	⊢
	: , : , :
18	instantiation	44, 38, 29	⊢
	: , : , :
19	instantiation	30, 43	⊢
	:
20	theorem		⊢
	proveit.numbers.addition.disassociation
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
23	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
24	instantiation	31	⊢
	: , :
25	instantiation	32, 33	⊢
	:
26	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
27	instantiation	44, 36, 34	⊢
	: , : , :
28	instantiation	35	⊢
	:
29	assumption		⊢
30	theorem		⊢
	proveit.numbers.negation.int_closure
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	theorem		⊢
	proveit.numbers.negation.complex_closure
33	instantiation	44, 36, 37	⊢
	: , : , :
34	instantiation	44, 38, 39	⊢
	: , : , :
35	axiom		⊢
	proveit.logic.equality.equals_reflexivity
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	44, 40, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
41	instantiation	44, 42, 43	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	44, 45, 46	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements