Sentence examples for A implies from inspiring English sources

Brouwer remarks in the 1908 paper that the fact that PEM is not valid does not mean that it is false: ¬(A ∨ ¬ A) implies ¬A ∧ ¬¬A, a contradiction.

end{aligned} Moreover, (Gin B({x},varepsilon capkappa(A)) implies (Gsubseteq B x,varepsilon)) and (Gsubseteq A), consequently, (y_{0}in B x,varepsilon cap A).

Second, because Spanish debt is in euros, scenario A implies a significantly worse debt burden.

Obviously, (a) implies (b).

Thus (a) implies (b).

Proof (a) implies (b).

Then, (i) (A) implies (B).

which together with (a) implies (3.14).

Firstly, we prove that Theorem A implies Theorem A'.

The fact that (A) implies (B) was proved in [6].

Proof First, we prove that (a) implies (b).