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