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