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	reference	8	⊢
2	instantiation	4, 46, 28, 15, 5, 16, 31, 18	⊢
	: , : , : , : , : , :
3	instantiation	8, 6, 7	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.multiplication.disassociation
5	instantiation	21	⊢
	: , :
6	instantiation	8, 9, 10	⊢
	: , : , :
7	instantiation	11, 12, 18	⊢
	: , :
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	13, 46, 15, 16, 31, 18	⊢
	: , : , : , : , : , : , :
10	instantiation	14, 15, 28, 46, 16, 17, 31, 18, 19^*	⊢
	: , : , : , : , : , :
11	theorem		⊢
	proveit.numbers.multiplication.commutation
12	instantiation	44, 33, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
14	theorem		⊢
	proveit.numbers.multiplication.association
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17	instantiation	21	⊢
	: , :
18	instantiation	44, 33, 22	⊢
	: , : , :
19	instantiation	23, 31, 24, 25^, 26^	⊢
	: , : , :
20	instantiation	27, 34, 28	⊢
	: , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
22	instantiation	44, 40, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
25	instantiation	30, 31	⊢
	:
26	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
27	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	instantiation	44, 42, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
31	instantiation	44, 33, 34	⊢
	: , : , :
32	instantiation	44, 45, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
34	instantiation	36, 37, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
38	instantiation	44, 40, 41	⊢
	: , : , :
39	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
41	instantiation	44, 42, 43	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	44, 45, 46	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements