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	6, 4, 8, 7, 11, 9, 5, 14, 15, 16	⊢
	: , : , : , : , : , :
3	instantiation	6, 7, 41, 8, 9, 10, 11, 12, 13, 14, 15, 16	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
5	instantiation	39, 21, 17	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.multiplication.disassociation
7	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	instantiation	18	⊢
	: , :
11	instantiation	19	⊢
	: , : , :
12	instantiation	39, 21, 24	⊢
	: , : , :
13	instantiation	39, 21, 25	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
15	instantiation	39, 21, 20	⊢
	: , : , :
16	instantiation	39, 21, 22	⊢
	: , : , :
17	instantiation	23, 24, 25	⊢
	: , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
20	instantiation	26, 27	⊢
	:
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	28, 29, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
24	instantiation	39, 31, 32	⊢
	: , : , :
25	instantiation	39, 33, 34	⊢
	: , : , :
26	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
27	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
28	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
29	instantiation	35, 36	⊢
	: , :
30	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	39, 37, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
35	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	39, 40, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat2