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