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	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	4, 17, 5, 41, 18, 6, 21, 12, 7^*	⊢
	: , : , : , : , : , :
3	instantiation	16, 17, 38, 18, 8, 21, 9^*	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
6	instantiation	10	⊢
	: , : , : , :
7	instantiation	11, 12	⊢
	:
8	instantiation	23	⊢
	: , :
9	instantiation	27, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
11	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
12	assumption		⊢
13	instantiation	33, 15	⊢
	: , : , :
14	instantiation	16, 17, 38, 41, 18, 19, 20, 21, 22^*	⊢
	: , : , : , : , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
16	theorem		⊢
	proveit.numbers.addition.association
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	23	⊢
	: , :
20	instantiation	39, 25, 24	⊢
	: , : , :
21	instantiation	39, 25, 26	⊢
	: , : , :
22	instantiation	27, 28, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	instantiation	39, 31, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	39, 31, 32	⊢
	: , : , :
27	axiom		⊢
	proveit.logic.equality.equals_transitivity
28	instantiation	33, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
30	instantiation	39, 36, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	39, 36, 37	⊢
	: , : , :
33	axiom		⊢
	proveit.logic.equality.substitution
34	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
35	instantiation	39, 40, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	39, 40, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
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