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, 14, 44, 16, 9, 10, 18, 19, 17, 20, 21	⊢
	: , : , : , : , : , : , :
7	instantiation	11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21	⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
9	instantiation	22	⊢
	: , :
10	instantiation	22	⊢
	: , :
11	theorem		⊢
	proveit.numbers.multiplication.association
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
14	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
15	instantiation	23	⊢
	: , : , : , :
16	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
18	instantiation	42, 27, 24	⊢
	: , : , :
19	instantiation	42, 27, 25	⊢
	: , : , :
20	instantiation	42, 27, 26	⊢
	: , : , :
21	instantiation	42, 27, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
24	instantiation	42, 29, 30	⊢
	: , : , :
25	instantiation	42, 31, 32	⊢
	: , : , :
26	instantiation	33, 34	⊢
	:
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	35, 36, 37	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	42, 38, 39	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
33	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
34	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
35	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
36	instantiation	40, 41	⊢
	: , :
37	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	42, 43, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat2