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