Theorems · Theorem · commutative algebra
AddSubmonoid.bot_mul
∀ {R : Type u_2} [inst : NonUnitalNonAssocSemiring R] (S : AddSubmonoid R), ⊥ * S = ⊥- Defined in
- Mathlib.Algebra.Ring.Submonoid.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocSemiring
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement and proof · cited by 4,720
- MulZeroClass.zero_mulproof · cited by 1,625
- AddSubmonoidstatement and proof · cited by 1,178
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- eq_bot_iffproof · cited by 159
- AddSubmonoid.mulstatement · cited by 18
- AddSubmonoid.mem_botproof · cited by 12
- AddSubmonoid.mul_leproof · cited by 5
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