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, 4, 5, 6, 7, 8, 9, 10^*	, , ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	reference	37	⊢
3	instantiation	28	⊢
	: , :
4	instantiation	28	⊢
	: , :
5	instantiation	28	⊢
	: , :
6	instantiation	40, 29, 11	⊢
	: , : , :
7	instantiation	12, 13, 14	⊢
	: , :
8	reference	32	⊢
9	assumption		⊢
10	instantiation	15, 16, 17^*	⊢
	: , :
11	instantiation	40, 35, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
13	instantiation	40, 29, 19	⊢
	: , : , :
14	assumption		⊢
15	theorem		⊢
	proveit.logic.equality.equals_reversal
16	instantiation	20, 21, 37, 42, 22, 23, 24, 32, 25^*	⊢
	: , : , : , : , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
18	instantiation	40, 38, 26	⊢
	: , : , :
19	instantiation	40, 35, 27	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23	instantiation	28	⊢
	: , :
24	instantiation	40, 29, 30	⊢
	: , : , :
25	instantiation	31, 32	⊢
	:
26	instantiation	40, 41, 33	⊢
	: , : , :
27	instantiation	40, 38, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	40, 35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
32	assumption		⊢
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
34	instantiation	40, 41, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	40, 38, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	40, 41, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements