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	4, 10, 40, 12, 5, 6, 14, 15, 13, 16, 17	⊢
	: , : , : , : , : , : , :
3	instantiation	7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
5	instantiation	18	⊢
	: , :
6	instantiation	18	⊢
	: , :
7	theorem		⊢
	proveit.numbers.multiplication.association
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	instantiation	19	⊢
	: , : , : , :
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
14	instantiation	38, 23, 20	⊢
	: , : , :
15	instantiation	38, 23, 21	⊢
	: , : , :
16	instantiation	38, 23, 22	⊢
	: , : , :
17	instantiation	38, 23, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
20	instantiation	38, 25, 26	⊢
	: , : , :
21	instantiation	38, 27, 28	⊢
	: , : , :
22	instantiation	29, 30	⊢
	:
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	31, 32, 33	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	38, 34, 35	⊢
	: , : , :
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	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
30	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
31	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
32	instantiation	36, 37	⊢
	: , :
33	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	38, 39, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2