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	, ⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 4	, ⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.substitution
4	instantiation	5, 6, 7	, ⊢
	: , : , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	8, 13, 38, 15, 9, 10, 24, 17, 16, 18, 19	, ⊢
	: , : , : , : , : , : , :
7	instantiation	11, 52, 12, 13, 14, 15, 16, 24, 17, 18, 19	, ⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
9	instantiation	20	⊢
	: , :
10	instantiation	20	⊢
	: , :
11	theorem		⊢
	proveit.numbers.multiplication.association
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	instantiation	21	⊢
	: , : , : , :
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
17	instantiation	53, 33, 22	⊢
	: , : , :
18	instantiation	23, 24, 25	, ⊢
	: , :
19	instantiation	53, 33, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
22	instantiation	53, 27, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
24	instantiation	53, 33, 29	⊢
	: , : , :
25	instantiation	30, 31	, ⊢
	:
26	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
29	instantiation	53, 36, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.negation.complex_closure
31	instantiation	53, 33, 34	, ⊢
	: , : , :
32	instantiation	53, 39, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
34	instantiation	53, 36, 37	, ⊢
	: , : , :
35	instantiation	53, 51, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	53, 39, 40	, ⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	instantiation	53, 41, 42	, ⊢
	: , : , :
41	instantiation	43, 44, 45	⊢
	: , :
42	assumption		⊢
43	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
44	instantiation	46, 47, 48	⊢
	: , :
45	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
46	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
47	instantiation	49, 50	⊢
	:
48	instantiation	53, 51, 52	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.negation.int_closure
50	instantiation	53, 54, 55	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
53	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
54	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
55	assumption		⊢