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, 10	, ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	reference	37	⊢
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	11	⊢
	: , : , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	12, 15, 13	⊢
	: , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
9	instantiation	14, 15, 16	, ⊢
	: , :
10	instantiation	50, 29, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
13	instantiation	50, 29, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
15	instantiation	50, 29, 19	⊢
	: , : , :
16	instantiation	20, 21	, ⊢
	:
17	instantiation	22, 23, 24, 25	⊢
	: , : , :
18	instantiation	50, 26, 27	⊢
	: , : , :
19	instantiation	50, 32, 28	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.negation.complex_closure
21	instantiation	50, 29, 30	, ⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
24	instantiation	50, 32, 31	⊢
	: , : , :
25	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
28	instantiation	50, 35, 45	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	50, 32, 33	, ⊢
	: , : , :
31	instantiation	50, 35, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	50, 35, 36	, ⊢
	: , : , :
34	instantiation	50, 48, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	50, 38, 39	, ⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
38	instantiation	40, 41, 42	⊢
	: , :
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
41	instantiation	43, 44, 45	⊢
	: , :
42	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
43	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
44	instantiation	46, 47	⊢
	:
45	instantiation	50, 48, 49	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.negation.int_closure
47	instantiation	50, 51, 52	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
50	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
52	assumption		⊢