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