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.numbers.multiplication.mult_neg_left
2	reference	12	⊢
3	reference	15	⊢
4	instantiation	5, 6, 7	⊢
	: , : , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	8, 9	⊢
	: , : , :
7	instantiation	10, 11, 12, 13*	⊢
	: , :
8	axiom		⊢
	proveit.logic.equality.substitution
9	instantiation	14, 15	⊢
	:
10	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
11	instantiation	40, 23, 16	⊢
	: , : , :
12	instantiation	40, 23, 17	⊢
	: , : , :
13	instantiation	18, 19	⊢
	:
14	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
15	instantiation	40, 23, 20	⊢
	: , : , :
16	instantiation	40, 25, 21	⊢
	: , : , :
17	instantiation	40, 25, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.negation.double_negation
19	instantiation	40, 23, 24	⊢
	: , : , :
20	instantiation	40, 25, 26	⊢
	: , : , :
21	instantiation	40, 29, 34	⊢
	: , : , :
22	instantiation	40, 29, 35	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	27, 28, 42	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	40, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
28	instantiation	31, 32	⊢
	: , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	33, 34, 35	⊢
	: , :
31	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
33	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
34	instantiation	36, 37	⊢
	:
35	instantiation	40, 38, 39	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.negation.int_closure
37	instantiation	40, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
42	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements