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, 11^*	, , ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	reference	17	⊢
3	reference	35	⊢
4	reference	18	⊢
5	instantiation	23	⊢
	: , :
6	instantiation	23	⊢
	: , :
7	instantiation	12, 20, 28	⊢
	: , :
8	reference	28	⊢
9	assumption		⊢
10	assumption		⊢
11	instantiation	13, 14, 15^*	⊢
	: , :
12	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
13	theorem		⊢
	proveit.logic.equality.equals_reversal
14	instantiation	16, 17, 35, 38, 18, 19, 20, 21, 28, 22^*	⊢
	: , : , : , : , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
16	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	23	⊢
	: , :
20	instantiation	36, 25, 24	⊢
	: , : , :
21	instantiation	36, 25, 26	⊢
	: , : , :
22	instantiation	27, 28	⊢
	:
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	instantiation	36, 30, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	36, 30, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
28	assumption		⊢
29	instantiation	36, 33, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	36, 33, 34	⊢
	: , : , :
32	instantiation	36, 37, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	36, 37, 38	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements