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, 12, 13, 14^*	, , , , , ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	reference	23	⊢
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
4	instantiation	29	⊢
	: , :
5	instantiation	29	⊢
	: , :
6	instantiation	15	⊢
	: , : , : , :
7	instantiation	39, 30, 16	⊢
	: , : , :
8	assumption		⊢
9	reference	33	⊢
10	assumption		⊢
11	assumption		⊢
12	assumption		⊢
13	assumption		⊢
14	instantiation	17, 18, 19^*	⊢
	: , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
16	instantiation	39, 35, 20	⊢
	: , : , :
17	theorem		⊢
	proveit.logic.equality.equals_reversal
18	instantiation	21, 22, 23, 41, 24, 25, 26, 33, 27^*	⊢
	: , : , : , : , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
20	instantiation	39, 37, 28	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
22	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
24	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
25	instantiation	29	⊢
	: , :
26	instantiation	39, 30, 31	⊢
	: , : , :
27	instantiation	32, 33	⊢
	:
28	instantiation	39, 40, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	39, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	39, 37, 38	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	39, 40, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements