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	7, 8, 28, 10, 4, 9, 5, 23, 6^*	⊢
	: , : , : , : , : , :
3	instantiation	7, 40, 28, 8, 9, 10, 11, 23, 12^*	⊢
	: , : , : , : , : , :
4	instantiation	14	⊢
	: , :
5	instantiation	38, 26, 13	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
7	theorem		⊢
	proveit.numbers.multiplication.association
8	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
9	instantiation	14	⊢
	: , :
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	instantiation	38, 26, 15	⊢
	: , : , :
12	instantiation	16, 23, 17, 18^, 19^	⊢
	: , : , :
13	instantiation	38, 34, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	38, 34, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
18	instantiation	22, 23	⊢
	:
19	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
20	instantiation	38, 36, 24	⊢
	: , : , :
21	instantiation	38, 36, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
23	instantiation	38, 26, 27	⊢
	: , : , :
24	instantiation	38, 39, 28	⊢
	: , : , :
25	instantiation	38, 39, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	30, 31, 32, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
32	instantiation	38, 34, 35	⊢
	: , : , :
33	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	38, 36, 37	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	38, 39, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements