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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	5, 49, 7, 6, 10, 8, 4, 11, 12, 13	⊢
	: , : , : , : , : , :
3	instantiation	5, 6, 39, 7, 8, 9, 10, 19, 15, 11, 12, 13	⊢
	: , : , : , : , : , :
4	instantiation	14, 19, 15	⊢
	: , :
5	theorem		⊢
	proveit.numbers.multiplication.disassociation
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	16	⊢
	: , :
10	instantiation	17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
12	instantiation	18, 19, 20	⊢
	: , :
13	instantiation	47, 24, 21	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
15	instantiation	47, 24, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
18	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
19	instantiation	47, 24, 23	⊢
	: , : , :
20	instantiation	47, 24, 25	⊢
	: , : , :
21	instantiation	26, 27, 28, 29	⊢
	: , : , :
22	instantiation	47, 30, 31	⊢
	: , : , :
23	instantiation	47, 34, 32	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	47, 34, 33	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
28	instantiation	47, 34, 35	⊢
	: , : , :
29	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
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	instantiation	47, 38, 36	⊢
	: , : , :
33	instantiation	47, 38, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	47, 38, 46	⊢
	: , : , :
36	instantiation	47, 48, 39	⊢
	: , : , :
37	instantiation	40, 41, 42	⊢
	: , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
40	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
41	instantiation	47, 43, 44	⊢
	: , : , :
42	instantiation	45, 46	⊢
	:
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
44	assumption		⊢
45	theorem		⊢
	proveit.numbers.negation.int_closure
46	instantiation	47, 48, 49	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat1