Theorems · Theorem · order theory
min_le_of_add_le_two_nsmul
∀ {M : Type u_3} [inst : AddMonoid M] [inst_1 : LinearOrder M] [AddLeftStrictMono M] [AddRightStrictMono M] {a b c : M},
a + b ≤ 2 • c → min a b ≤ c- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- AddMonoidstatement and proof · cited by 2,864
- LE.le.trans_eqproof · cited by 328
- AddLeftStrictMonostatement and proof · cited by 203
- AddRightStrictMonostatement and proof · cited by 160
- two_nsmulproof · cited by 67
- max_selfproof · cited by 43
- inf_le_iffproof · cited by 6
- min_le_max_of_add_le_addproof · cited by 2
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