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