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Theorems · Theorem · order theory

add_right_strictMono

∀ {α : Type u_1} [inst : Add α] [inst_1 : Preorder α] [AddLeftStrictMono α] {a : α}, StrictMono fun x => a + x
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.Basic
Cited by
2 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
AddPreorderAddLeftStrictMono
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Around this declaration

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

Ordinal.isNormal_add_right · cited by 13Ordinal.isNormal_add_rightAddLeftStrictMono.toIsLeftCancelAdd · cited by 0AddLeftStrictMono.toIsLef…Preorder · cited by 7952PreorderStrictMono · cited by 706StrictMonoAddLeftStrictMono · cited by 203AddLeftStrictMonoadd_lt_add_right · cited by 50add_lt_add_rightadd_right_strictMonoCITED BYCITES

Cites4

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Cited by2

Results whose statement or proof uses this declaration.