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	23	⊢
2	instantiation	4, 5	, , , , ⊢
	: , :
3	instantiation	6, 7	, ⊢
	: , : , :
4	theorem		⊢
	proveit.logic.equality.equals_reversal
5	instantiation	8, 44, 17, 9, 10^*	, , , , ⊢
	: , : , :
6	axiom		⊢
	proveit.logic.equality.substitution
7	instantiation	11, 41, 12	, ⊢
	: , :
8	theorem		⊢
	proveit.numbers.division.frac_cancel_left
9	instantiation	13, 33, 14	, , ⊢
	: , :
10	instantiation	23, 15, 16	, ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.multiplication.commutation
12	instantiation	42, 43, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
14	instantiation	18, 19, 20	, ⊢
	: , :
15	instantiation	21, 30, 29, 28, 22, 31, 41, 33	, ⊢
	: , : , : , : , : , :
16	instantiation	23, 24, 25	, ⊢
	: , : , :
17	assumption		⊢
18	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
19	assumption		⊢
20	assumption		⊢
21	theorem		⊢
	proveit.numbers.multiplication.disassociation
22	instantiation	35	⊢
	: , :
23	axiom		⊢
	proveit.logic.equality.equals_transitivity
24	instantiation	26, 30, 28, 31, 41, 33	, ⊢
	: , : , : , : , : , : , :
25	instantiation	27, 28, 29, 30, 31, 32, 41, 33, 34^*	, ⊢
	: , : , : , : , : , :
26	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
27	theorem		⊢
	proveit.numbers.multiplication.association
28	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
31	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
32	instantiation	35	⊢
	: , :
33	assumption		⊢
34	instantiation	36, 41, 37, 38^, 39^	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
36	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
38	instantiation	40, 41	⊢
	:
39	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
40	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
41	instantiation	42, 43, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.complex_nonzero_within_complex
44	assumption		⊢
^*equality replacement requirements