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, 5	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.booleans.negation.not_f
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	6, 7	⊢
	:
6	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
7	instantiation	8, 9	⊢
	: , :
8	theorem		⊢
	proveit.logic.equality.unfold_not_equals
9	instantiation	10, 35, 11, 12	⊢
	: , :
10	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
12	instantiation	13, 28, 14, 15, 16^, 17^	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
15	instantiation	18, 19	⊢
	:
16	instantiation	20, 21, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
18	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
20	theorem		⊢
	proveit.logic.equality.sub_right_side_into
21	instantiation	23, 25	⊢
	:
22	instantiation	24, 25, 26	⊢
	: , :
23	theorem		⊢
	proveit.numbers.addition.elim_zero_right
24	theorem		⊢
	proveit.numbers.addition.commutation
25	instantiation	33, 27, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	33, 29, 30	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	33, 31, 32	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	33, 34, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements