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.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	43	⊢
4	reference	31	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
8	instantiation	11, 12, 13	, ⊢
	: , :
9	instantiation	44, 23, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
12	instantiation	44, 23, 15	⊢
	: , : , :
13	instantiation	16, 17	, ⊢
	:
14	instantiation	18, 19, 20, 21	⊢
	: , : , :
15	instantiation	44, 26, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.negation.complex_closure
17	instantiation	44, 23, 24	, ⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
20	instantiation	44, 26, 25	⊢
	: , : , :
21	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
22	instantiation	44, 29, 39	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	44, 26, 27	, ⊢
	: , : , :
25	instantiation	44, 29, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	44, 29, 30	, ⊢
	: , : , :
28	instantiation	44, 42, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	44, 32, 33	, ⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
32	instantiation	34, 35, 36	⊢
	: , :
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
35	instantiation	37, 38, 39	⊢
	: , :
36	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
37	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
38	instantiation	40, 41	⊢
	:
39	instantiation	44, 42, 43	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.negation.int_closure
41	instantiation	44, 45, 46	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
46	assumption		⊢