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, 9, 8, 7, 11, 5, 12, 20	, ⊢
	: , : , : , : , : , :
3	instantiation	6, 7, 8, 9, 10, 11, 12, 20, 13^*	, ⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.multiplication.disassociation
5	instantiation	14	⊢
	: , :
6	theorem		⊢
	proveit.numbers.multiplication.association
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	instantiation	14	⊢
	: , :
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	assumption		⊢
13	instantiation	15, 20, 16, 17^, 18^	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
17	instantiation	19, 20	⊢
	:
18	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
19	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
20	instantiation	21, 22, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.complex_nonzero_within_complex
23	assumption		⊢
^*equality replacement requirements