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Theorems · Theorem · order theory

le_of_add_le_right

∀ {α : Type u} [inst : Add α] [inst_1 : Preorder α] [CanonicallyOrderedAdd α] {a b c : α}, a + b ≤ c → b ≤ c
Defined in
Mathlib.Algebra.Order.Monoid.Canonical.Defs
Cited by
5 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
AddPreorderCanonicallyOrderedAdd
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PowerSeries.coeff_X_pow_mul' · cited by 7PowerSeries.coeff_X_pow_m…Polynomial.coeff_mul_X_pow' · cited by 5Polynomial.coeff_mul_X_po…PowerSeries.coeff_mul_X_pow' · cited by 2PowerSeries.coeff_mul_X_p…Polynomial.hasseDeriv_comp · cited by 0Polynomial.hasseDeriv_compMeasureTheory.IsStoppingTime.add · cited by 0IsStoppingTime.addPreorder · cited by 7952PreorderLE.le.trans · cited by 3151le.transCanonicallyOrderedAdd · cited by 229CanonicallyOrderedAddle_add_self · cited by 51le_add_selfle_of_add_le_rightCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.