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