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Theorems · Theorem · order theory

inv_lt_div_iff_lt_mul

∀ {α : Type u} [inst : Group α] [inst_1 : LT α] [MulLeftStrictMono α] [MulRightStrictMono α] {a b c : α},
  a⁻¹ < b / c ↔ c < a * b
Defined in
Mathlib.Algebra.Order.Group.Unbundled.Basic
Cited by
0 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext
Assumes
GroupLTMulLeftStrictMonoMulRightStrictMono
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Group · cited by 6238Groupdiv_eq_mul_inv · cited by 715div_eq_mul_invMulLeftStrictMono · cited by 146MulLeftStrictMonoMulRightStrictMono · cited by 108MulRightStrictMonoinv_mul_lt_iff_lt_mul · cited by 6inv_mul_lt_iff_lt_mullt_mul_inv_iff_mul_lt · cited by 1lt_mul_inv_iff_mul_ltinv_lt_div_iff_lt_mulCITED BYCITES

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