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	, ⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	6, 13, 38, 35, 15, 14, 18, 19, 5	, ⊢
	: , : , : , : , : , :
3	instantiation	6, 38, 13, 14, 7, 15, 18, 19, 21, 20	, ⊢
	: , : , : , : , : , :
4	instantiation	8, 9, 10	, ⊢
	: , : , :
5	instantiation	11, 21, 20	⊢
	: , :
6	theorem		⊢
	proveit.numbers.addition.disassociation
7	instantiation	23	⊢
	: , :
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	12, 38, 35, 13, 14, 15, 18, 19, 21, 20	, ⊢
	: , : , : , : , : , : , :
10	instantiation	16, 35, 38, 17, 18, 19, 20, 21, 22^*	, ⊢
	: , : , : , : , : , :
11	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
12	theorem		⊢
	proveit.numbers.addition.leftward_commutation
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	instantiation	23	⊢
	: , :
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	theorem		⊢
	proveit.numbers.addition.association
17	instantiation	23	⊢
	: , :
18	instantiation	36, 27, 24	⊢
	: , : , :
19	instantiation	36, 27, 25	⊢
	: , : , :
20	instantiation	36, 27, 26	⊢
	: , : , :
21	instantiation	36, 27, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	assumption		⊢
25	instantiation	36, 30, 29	⊢
	: , : , :
26	instantiation	36, 30, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
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.nat1
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.nat2
^*equality replacement requirements