Sentence examples for proposition is valid from inspiring English sources
The phrase "proposition is valid" is correct and usable in written English
It can be used in contexts related to logic, philosophy, or mathematics when discussing the truth or soundness of a statement or argument. Example: "In formal logic, a proposition is valid if it holds true under all interpretations."
The converse of the above proposition is valid when k = 1.
By uttering example 1, the speaker conveys to the hearer the information that the proposition is valid without any qualification.
CTL formula involves temporal expressions, with φ and Ψ being atomic propositions, X φ (next φ), φ U Ψ (φ atomic proposition is valid until Ψ), G φ (φ is always globally valid) and F φ (φ is valid in the future).
Their proposition is valid even when temporal synchronization remains unaffected with increasing species richness; an assertion largely supported by our results on the co-variance CV (Figures 1 and 2).
In my view, neither of these propositions is valid.
If the condition in Proposition 2.1 is valid, then from Proposition 2.3 we have begin{aligned} bigl|!bigl|!bigl|bigl{ y^,sigma^ bigr} bigr|!bigr|!bigr|_{delta} le C bigl(|f |_{L^{2}(Omega)}+bigl| u^bigr| _{L^{2}(Omega)} bigr).
Proposition 4.1 is valid.
Assume the condition in Proposition 2.1 is valid.
If the condition in Proposition 2.1 is valid, then we have begin{aligned} bigl|!bigl|!bigl|{y,sigma}bigr|!bigr|!bigr|_{delta} leq C |f|_{L^{2}(Omega)}, end{aligned} (2.12) where the constant C depends on the Poincaré constant (C_{Omega }), and the reciprocal of (c_{delta}) and (delta_{0}).
From Proposition 2.8, (4.6) is valid if and only if for any, (4.7).
And it can depend on matters of fact whether or not a proposition is universally valid (or contravalid) with respect to a sequence i of ideas.
