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	4, 5, 6, 9, 7*	,  ⊢
	: , : , :
3	instantiation	8, 9	⊢
	:
4	theorem		⊢
	proveit.numbers.division.frac_cancel_left
5	instantiation	43, 11, 10	⊢
	: , : , :
6	instantiation	43, 11, 12	⊢
	: , : , :
7	instantiation	13, 14	⊢
	:
8	theorem		⊢
	proveit.numbers.division.frac_one_denom
9	instantiation	43, 19, 15	⊢
	: , : , :
10	instantiation	43, 17, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
12	instantiation	43, 17, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
14	instantiation	43, 19, 20	⊢
	: , : , :
15	instantiation	21, 22, 42, 23, 24, 25	⊢
	: , : , : , : , :
16	instantiation	43, 27, 26	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
18	instantiation	43, 27, 28	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	43, 29, 30	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.booleans.conjunction.any_from_and
22	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
23	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
24	instantiation	31	⊢
	: , :
25	assumption		⊢
26	instantiation	43, 33, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
28	instantiation	43, 33, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	43, 35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	instantiation	37, 42, 40	⊢
	: , :
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	38, 39, 40	⊢
	: , :
37	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
38	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
39	instantiation	43, 41, 42	⊢
	: , : , :
40	instantiation	43, 44, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
45	assumption		⊢
*equality replacement requirements