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Theorems · Theorem · order theory

lt_sub_comm

∀ {α : Type u} [inst : AddCommGroup α] [inst_1 : LT α] [AddLeftStrictMono α] {a b c : α}, a < b - c ↔ c < b - a
Defined in
Mathlib.Algebra.Order.Group.Unbundled.Basic
Cited by
3 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
AddCommGroupLTAddLeftStrictMono
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Around this declaration

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

Set.preimage_const_sub_Ioi · cited by 2Set.preimage_const_sub_IoiSet.sub_mem_Ioc_iff_right · cited by 0Set.sub_mem_Ioc_iff_rightSet.sub_mem_Ioo_iff_right · cited by 0Set.sub_mem_Ioo_iff_rightAddCommGroup · cited by 12871AddCommGroupAddLeftStrictMono · cited by 203AddLeftStrictMonolt_sub_iff_add_lt · cited by 24lt_sub_iff_add_ltlt_sub_iff_add_lt' · cited by 14lt_sub_iff_add_lt'lt_sub_commCITED BYCITES

Cites4

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Cited by3

Results whose statement or proof uses this declaration.