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, 4, 5, 6, 7, 8^*	, , ⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.exp_factored_int
2	reference	19	⊢
3	reference	39	⊢
4	reference	41	⊢
5	instantiation	9, 39, 10	⊢
	: , :
6	assumption		⊢
7	instantiation	11, 12	⊢
	: , :
8	instantiation	13, 14	⊢
	:
9	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
10	instantiation	15, 41	⊢
	:
11	theorem		⊢
	proveit.logic.equality.equals_reversal
12	instantiation	16, 17, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
14	instantiation	42, 34, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.negation.int_closure
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	20, 44, 21, 22, 23, 24, 31, 27, 25	⊢
	: , : , : , : , : , :
18	instantiation	26, 31, 27, 28	⊢
	: , : , :
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.addition.disassociation
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
22	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
23	instantiation	29	⊢
	: , :
24	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
25	instantiation	30, 31	⊢
	:
26	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
27	instantiation	42, 34, 32	⊢
	: , : , :
28	instantiation	33	⊢
	:
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
30	theorem		⊢
	proveit.numbers.negation.complex_closure
31	instantiation	42, 34, 35	⊢
	: , : , :
32	instantiation	42, 37, 36	⊢
	: , : , :
33	axiom		⊢
	proveit.logic.equality.equals_reflexivity
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
35	instantiation	42, 37, 38	⊢
	: , : , :
36	instantiation	42, 40, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	42, 40, 41	⊢
	: , : , :
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	instantiation	42, 43, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements