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