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Theorems · Theorem · order theory

CanonicallyOrderedAdd.le_add_self

∀ {α : Type u_1} {inst : Add α} {inst_1 : LE α} [self : CanonicallyOrderedAdd α] (a b : α), a ≤ b + a

For any a and b, a ≤ a + b

Defined in
Mathlib.Algebra.Order.Monoid.Canonical.Defs
Cited by
1 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
CanonicallyOrderedAdd
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le_add_self · cited by 51le_add_selfCanonicallyOrderedAdd · cited by 229CanonicallyOrderedAddCanonicallyOrderedAdd.le_add_…CITED BYCITES

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