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, 4, 5, 6, 7, 8, 9	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
2	reference	19	⊢
3	reference	51	⊢
4	reference	18	⊢
5	instantiation	30	⊢
	: , :
6	reference	20	⊢
7	instantiation	10, 11, 12	⊢
	: , : , :
8	instantiation	49, 35, 13	⊢
	: , : , :
9	instantiation	14, 15	⊢
	:
10	theorem		⊢
	proveit.logic.equality.sub_right_side_into
11	instantiation	27, 16, 22	⊢
	: , :
12	instantiation	17, 18, 51, 19, 20, 21, 28, 29, 22	⊢
	: , : , : , : , : , :
13	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
14	theorem		⊢
	proveit.numbers.negation.complex_closure
15	instantiation	23, 24, 25, 26	⊢
	: , :
16	instantiation	27, 28, 29	⊢
	: , :
17	theorem		⊢
	proveit.numbers.multiplication.disassociation
18	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	instantiation	30	⊢
	: , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
23	theorem		⊢
	proveit.numbers.division.div_complex_closure
24	instantiation	49, 35, 31	⊢
	: , : , :
25	instantiation	49, 35, 32	⊢
	: , : , :
26	instantiation	33, 48	⊢
	:
27	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
28	instantiation	49, 35, 34	⊢
	: , : , :
29	instantiation	49, 35, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
31	instantiation	49, 39, 37	⊢
	: , : , :
32	instantiation	49, 39, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
34	instantiation	49, 39, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
36	instantiation	49, 41, 42	⊢
	: , : , :
37	instantiation	49, 45, 43	⊢
	: , : , :
38	instantiation	49, 45, 44	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	49, 45, 46	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
43	assumption		⊢
44	instantiation	49, 47, 48	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
46	instantiation	49, 50, 51	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
48	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
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