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