Theorems · Definition · group theory
Submonoid.op
{M : Type u_2} → [inst : MulOneClass M] → Submonoid M → Submonoid MᵐᵒᵖPull a submonoid back to an opposite submonoid along MulOpposite.unop
- Cited by
- 38 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses Quot.sound
- Assumes
- MulOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coeproof · cited by 8,199
- Set.preimageproof · cited by 4,946
- Submonoidstatement and proof · cited by 3,086
- MulOppositestatement · cited by 1,135
- MulOneClassstatement and proof · cited by 1,018
- MulOpposite.unopproof · cited by 268
- Submonoid.one_mem'proof · cited by 3
Cited by41
Results whose statement or proof uses this declaration.
- Subsemiring.opproof · cited by 43
- Submonoid.opEquivproof · cited by 18
- Submonoid.op_closurestatement · cited by 2
- Submonoid.op_injectivestatement · cited by 2
- Submonoid.equivOpstatement · cited by 2
- Submonoid.op_botstatement · cited by 1
- Submonoid.op_injstatement · cited by 1
- Submonoid.op_sInfstatement · cited by 1
- Submonoid.op_topstatement · cited by 1
- Submonoid.op_unopstatement · cited by 1
- Subsemiring.addEquivOp_apply_coestatement · cited by 0
- Subsemiring.addEquivOp_symm_apply_coestatement and proof · cited by 0