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	⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.core_expr_types.tuples.tuple_portion_substitution
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
3	reference	10	⊢
4	instantiation	8	⊢
	: , :
5	instantiation	9, 10	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	11, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	axiom		⊢
	proveit.core_expr_types.tuples.empty_range_def
12	instantiation	13, 14, 15	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.equality.sub_right_side_into
14	instantiation	16, 18	⊢
	:
15	instantiation	17, 18, 19	⊢
	: , :
16	theorem		⊢
	proveit.numbers.addition.elim_zero_right
17	theorem		⊢
	proveit.numbers.addition.commutation
18	instantiation	26, 20, 21	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	26, 22, 23	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	26, 24, 25	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	26, 27, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat1