📁 Source: Mathlib/Algebra/Category/Ring/LinearAlgebra.lean
nontrivial_of_isPushout_of_isField
IsField
carrier
CommSemiring.toSemiring
CommRing.toCommSemiring
commRing
CategoryTheory.IsPushout
CommRingCat
instCategory
Nontrivial
Equiv.nontrivial
Module.FaithfullyFlat.lTensor_nontrivial
Module.FaithfullyFlat.instOfNontrivialOfFree
Module.Free.of_divisionRing
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