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	reference	8	⊢
2	instantiation	26, 11, 4	⊢
	: , :
3	instantiation	5, 6, 7	⊢
	: , : , :
4	instantiation	8, 9, 10	⊢
	: , : , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	18, 20, 12, 19, 14, 21, 11, 27, 28, 23	⊢
	: , : , : , : , : , :
7	instantiation	18, 19, 51, 12, 21, 13, 14, 15, 16, 27, 28, 23	⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.logic.equality.sub_right_side_into
9	instantiation	26, 17, 23	⊢
	: , :
10	instantiation	18, 19, 51, 20, 21, 22, 27, 28, 23	⊢
	: , : , : , : , : , :
11	instantiation	49, 34, 24	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
13	instantiation	29	⊢
	: , :
14	instantiation	25	⊢
	: , : , :
15	instantiation	49, 34, 32	⊢
	: , : , :
16	instantiation	49, 34, 33	⊢
	: , : , :
17	instantiation	26, 27, 28	⊢
	: , :
18	theorem		⊢
	proveit.numbers.multiplication.disassociation
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
21	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
22	instantiation	29	⊢
	: , :
23	instantiation	49, 34, 30	⊢
	: , : , :
24	instantiation	31, 32, 33	⊢
	: , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
26	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
28	instantiation	49, 34, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
30	instantiation	36, 37, 38	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
32	instantiation	49, 39, 40	⊢
	: , : , :
33	instantiation	49, 41, 42	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
35	instantiation	43, 44	⊢
	:
36	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
37	instantiation	45, 46	⊢
	: , :
38	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	49, 47, 48	⊢
	: , : , :
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	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
44	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
45	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	instantiation	49, 50, 51	⊢
	: , : , :
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