Theorems · Theorem · commutative algebra
ValuativeRel.vle_add_cases
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : ValuativeRel R] (x y : R), x + y ≤ᵥ x ∨ x + y ≤ᵥ y- Cited by
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- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- SemiringValuativeRel
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- ValuativeRelstatement and proof · cited by 241
- ValuativeRel.vlestatement and proof · cited by 84
- ValuativeRel.vle_totalproof · cited by 4
- ValuativeRel.vle.rflproof · cited by 2
- ValuativeRel.vle_addproof · cited by 1
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