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