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.numbers.ordering.less_is_not_eq_nat
2	reference	27	⊢
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
4	instantiation	5, 20, 6, 7, 8^, 9^	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
6	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
7	instantiation	10, 11	⊢
	:
8	instantiation	12, 13, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_3
10	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
12	theorem		⊢
	proveit.logic.equality.sub_right_side_into
13	instantiation	15, 17	⊢
	:
14	instantiation	16, 17, 18	⊢
	: , :
15	theorem		⊢
	proveit.numbers.addition.elim_zero_right
16	theorem		⊢
	proveit.numbers.addition.commutation
17	instantiation	25, 19, 20	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	25, 21, 22	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	25, 23, 24	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	25, 26, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
^*equality replacement requirements