Show the Proof¶

In [1]:

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

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	8, 9, 4	⊢
	: , :
3	instantiation	5, 6, 7	⊢
	: , : , :
4	instantiation	8, 17, 18	⊢
	: , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	10, 55, 42, 11, 14, 12, 9, 17, 18	⊢
	: , : , : , : , : , :
7	instantiation	10, 11, 42, 12, 13, 14, 15, 16, 17, 18	⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
9	instantiation	56, 21, 19	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.multiplication.disassociation
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	20	⊢
	: , :
14	instantiation	20	⊢
	: , :
15	instantiation	56, 21, 24	⊢
	: , : , :
16	instantiation	56, 21, 25	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
18	instantiation	56, 21, 22	⊢
	: , : , :
19	instantiation	23, 24, 25	⊢
	: , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	26, 27, 28	⊢
	: , :
23	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
24	instantiation	56, 40, 29	⊢
	: , : , :
25	instantiation	56, 30, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
27	instantiation	32, 33, 34, 35	⊢
	: , : , :
28	instantiation	36, 37	⊢
	:
29	instantiation	56, 43, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
34	instantiation	56, 40, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
36	theorem		⊢
	proveit.numbers.negation.real_closure
37	instantiation	56, 40, 41	⊢
	: , : , :
38	instantiation	56, 54, 42	⊢
	: , : , :
39	instantiation	56, 43, 51	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
41	instantiation	56, 43, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	56, 45, 46	⊢
	: , : , :
45	instantiation	47, 48, 53	⊢
	: , :
46	assumption		⊢
47	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
48	instantiation	49, 50, 51	⊢
	: , :
49	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
50	instantiation	52, 53	⊢
	:
51	instantiation	56, 54, 55	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.negation.int_closure
53	instantiation	56, 57, 58	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
56	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
58	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos