The phrase "mutually entail" is correct and usable in written English.
It is used to describe a situation where two or more things require one another in order to exist or be achieved. For example, "The two countries agreed that their partnership would mutually entail the sharing of resources and technology."
If we say that theories have the same content just when they mutually entail one another, then each entailment account comes with its own notion of content; the problem of finding the right entailment relation is just the problem of finding the right notion of content, the notion that is relevant to ontological commitment.
T and T* mutually entail one another (assuming 'K' is not a semantical predicate); they thus have the same ontological commitments on an entailment account.
They are ontologically identical and mutually entailing.
On the monistic side, the two conjuncts of Priority monism (cosmic)—∃!xBx and Bu turn out to be mutually entailing.
And likewise on the pluralistic side, the two conjuncts of Priority pluralism (partial)—∃x∃y(Bx & By & x≠y) and ~Bu turn out to be mutually entailing.
Competition between SAP130 and Skp1-Skp2 entails mutually exclusive binding of these proteins to Cul1 and lack of association between the competing proteins.
Based on the connections people make they can develop friendships and people diagnosed with dementia can clearly retain the ability to enjoy moments of genuine mutual support and consideration and can understand what is entailed in warm, mutually satisfying relationships including friendships [ 14, 15].
Communication requires mutually understandable vocabulary and therefore entails researchers working to find the words that are meaningful to potential participants, while still allowing them to communicate with precision.
The demands are competing because they require separate attention, entail the allocation of mutually incompatible resources, and point to different guidelines for action (Chen 2017).
When "strategic partnership" comes down to mutually constraining U.S. power, it in effect also entails Russia facilitating China's spreading power in Eurasia.
The model entails a chemically diverse set of mutually catalytic amphiphiles that spontaneously aggregate to form molecular assemblies (e.g. micelles, a "Lipid World" scenario [ 29], see also [ 35]).
