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p, q, Data are mean + s.e.m.m
Axioms: (p ∨ p) ⊃ p q ⊃ (p ∨ q) (p ∨ q) ⊃ (q ∨ p) (q ⊃ r) ⊃ [(p ∨ q) ⊃ (p ∨ r)] Axiom 4 can be read, "If q implies r, then, if either p or q, either p or r".
Let p, q : T → ℝ be two regressive functions, define p ⊕ q = p + q + μ p q, ⊖ p = - p 1 + μ p, p ⊖ q = p ⊕ ( ⊖ q ).
Now, let P, Q ∈ P with P ⪯ ˜ Q.
, p, q, p, q, …, and the proof is complete.
Let p, q be constants such that 1 < p, q < ∞.
Similar(39)
See also: F-K L-P Q-S T-Z.
This implies that p = q, that is, J p = q ∗.
Ross's Paradox Rosss 1941): But ⊢ OBp → OB(p ∨ q) follows by RM from ⊢ p → (p ∨ q).
A mapping f : P → Q is order preserving iff for all p,q ∈ P, if p ⊴ q then f(p) ⊴ f q).
As an example, [(p ⊃ q) · r] ⊃ [(∼r ∨ p) ⊃ q] may be tested for validity.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com