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