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Theorem base for Specification either

This is a listing of all goals defined over the current specification. Axioms are marked yellow, proved theorems green and unproved theorems blue. Click on individual names to get more information on the proof.

Name: Sequent: Type:
case-Either ⊦ either = Left(either.getL) ∨ either = Right(either.getR) An Axiom
inj-Right ⊦ Right(b) = Right(b0) ↔ b = b0 An Axiom
gen-EitherEither('a, 'b) freely generated by Left, Right; An Axiom
disj-Left-Right ⊦ Left(a) ≠ Right(b) An Axiom
test-dotisRight-Right ⊦ Right(b).isRight An Axiom
elim-Right ⊦ either.isRight → (getR = either.getR ↔ either = Right(getR)) An Axiom
inj-Left ⊦ Left(a) = Left(a0) ↔ a = a0 An Axiom
test-dotisRight-Left ⊦ ¬ Left(a).isRight An Axiom
ex-dotisRight ⊦ either.isRight ↔ (∃ b. either = Right(b)) An Axiom
sel-Right-dotgetR ⊦ Right(b).getR = b An Axiom
sel-Left-dotgetL ⊦ Left(a).getL = a An Axiom