ZeroToLean/Index.md

Basic logic

Name	Mathlib equivalent	Proposition
basicLogic.and_commutative	and_comm	a\land b \iff b \land a
basicLogic.or_commutative	or_comm	a\lor b \iff b \lor a
basicLogic.double_negation	not_not_intro	a\to\neg\neg a
basicLogic.and_associative	and_assoc	a\land (b\land c) \iff (a\land b) \land c
basicLogic.contrapositive	contrapose	(a \to b) \to (\neg b \to \neg a)
basicLogic.p_or_p_equal_p	or_self	(a \or a) = a
basicLogic.p_or_p_iff_p		a \or a \iff a
basicLogic.and_or_distributivity_left	and_or_left	a \and (b \or c) \iff a \and b \or a \and c
basicLogic.and_or_distributivity_right	and_or_right	a \and b \or c \iff (a \or c) \and (b \or c)
basicLogic.p_and_true_equal_p	and_true	(a \and True) = a
basicLogic.p_and_true_iff_p		a \and True \iff a
basicLogic.true_and_p_equal_p	true_and	(True \and a) = a
basicLogic.true_and_p_iff_p		True \and a \iff a
basicLogic.p_or_false_equal_p	or_false	(a \or False) = a
basicLogic.p_or_false_iff_p		a \or False \iff a