Theorems · Theorem · logic and foundations
PFun.fix_fwd
∀ {α : Type u_1} {β : Type u_2} {f : α →. β ⊕ α} {b : β} {a a' : α}, b ∈ f.fix a → Sum.inr a' ∈ f a → b ∈ f.fix a'- Defined in
- Mathlib.Data.PFun
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Partstatement and proof · cited by 325
- PFunstatement and proof · cited by 207
- PFun.fixstatement and proof · cited by 16
- PFun.fix_fwd_eqproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- PFun.fixInduction'proof · cited by 2
- PFun.fixInduction_specstatement and proof · cited by 2
- PFun.fixInduction'_fwdproof · cited by 0
- PFun.fixInduction'_stopproof · cited by 0