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, 12, 48, 45, 14, 9, 16, 17, 15, 18	⊢
	: , : , : , : , : , : , :
7	instantiation	10, 45, 11, 12, 13, 14, 15, 16, 17, 18	⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
9	instantiation	19	⊢
	: , :
10	theorem		⊢
	proveit.numbers.multiplication.association
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	instantiation	20	⊢
	: , : , :
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
16	instantiation	46, 22, 35	⊢
	: , : , :
17	instantiation	46, 22, 21	⊢
	: , : , :
18	instantiation	46, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
21	instantiation	46, 24, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
23	instantiation	26, 27, 30, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
27	instantiation	29, 30	⊢
	:
28	instantiation	31, 32	⊢
	:
29	theorem		⊢
	proveit.numbers.negation.real_closure
30	instantiation	33, 34, 35, 36	⊢
	: , :
31	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
32	assumption		⊢
33	theorem		⊢
	proveit.numbers.division.div_real_closure
34	instantiation	46, 38, 37	⊢
	: , : , :
35	instantiation	46, 38, 39	⊢
	: , : , :
36	instantiation	40, 41	⊢
	:
37	instantiation	46, 43, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	46, 43, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
42	instantiation	46, 47, 45	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	46, 47, 48	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat2